Answer:
steps of time
Step-by-step explanation:
Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the statement that could be true for g.
Options
(A)g(5) = 12 (B)g(1) = -2 (C)g(2) = 4 (D)g(3) = 18Answer:
(D)g(3) = 18
Step-by-step explanation:
Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8
Then the following properties must hold
The value(s) of x must be between -1 and 4The values of g(x) must be between 0 and 18.g(-1)=2g(2)=9We consider the options and state why they are true or otherwise.
Option A: g(5)=12
The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.
Option B: g(1) = -2
The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.
Option C: g(2) = 4
The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.
Option D: g(3) = 18
This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.
Therefore, Option D could be true.
Answer: g(3) =18
Step-by-step explanation: thats probably all you need
Ahn, Bill, and Carl are eating a pizza. If Ahn ate 4 slices, Bill ate 3 slices, Carl ate 2 slices, and 1 slice more than half of the slices remain, into how many slices was the original pizza cut ?
Answer:
20
Step-by-step explanation:
Answer:20
Step-by-step explanation:
Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 4 * f(6)−6*g(5)=
Answer:
6(4f - 5g)
Step-by-step explanation:
4f × 6 - 6g × 5 = 24f - 6g × 5
24f - 30g → 6 (4f - 5g)
Hope this helped! :)
Answer:
f(6)−6*g(5)= 6f - 30g
Step-by-step explanation:
Hope this helped you!
Helppp!!!! please!!!
Answer:
A) 348 square m
Step-by-step explanation:
Surface area of the figure
[tex] = 2(15 \times 6 + 6 \times 4 + 15 \times 4) \\ = 2(90 + 24 + 60) \\ = 2 \times 174 \\ = 348 \: {m}^{2} \\ [/tex]
Trina uses 1/2 of the cup of sugar and 3/4 cup of flour of recipe. How many cups of sugar would she need if she uses 3 cups of flour?
Answer:
you need 2 cups of sugar
Step-by-step explanation:
1/2 cups of sugar = 3/4 cup of flour
x = 3 cups of flour
1/2*3 = 3/4x
3/2 = 3/4x
x =3/2 ÷ 3/4
x =2
What is the quotient? 36 divided by 6 –30 –6 6 30
[tex]\text{In this question, we're trying to find the quotient}\\\\\text{The quotient is basically the result or answer when you divide a number}\\\\\text{To find the quotient, divide 36 by 6}\\\\36\div6=6\\\\\boxed{\text{Answer: 6}}[/tex]
Answer:
6
Step-by-step explanation:
6x6=36 so, 36÷6=6
g Random digits are integers selected from among {0,1,2,3,4,5,6,7,8,9} one at a time in such a way that at each stage in the selection process the integer chosen is just as likely to be one digit as any other. In simulation experiments it is often necessary to generate a series of random digits by using a random number generator. In generating such a serie, let X denote the number of trials needed to obtain the first zero. a) What is the functional form of the pmf? b) Find the P(X=3). c) Find P(X<=5). d) What is the mean of X? e) What is the Var(X)?
Answer:
a) P(X=x) = p× (1-p)^(x-1)
b) P(X=3) = 0.081
c) P(X≤5) = 0.40951
d) Mean of X= 10
e) Var(X)= 90
Step-by-step explanation:
This is a question on geometric distribution.
In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.
This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)
For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}
We stop the trials when we get a success.
From the question, there are 10 numbers
The probability of success = p = 1/10
For the solutions of the question from (a-e), See attachment below.
f(x) = P(X= x)
Where P(X= x) is the probability of X taking on a value x
Which of the following is an arithmetic sequence that could be modeled by an explicit formula expressed as a linear function? A. −1, −8, −27, −64, −125, … B. −5, −2, 3, 10, 19, … C. −5, −1, 3, 7, 11, … D. 1/2, 1/4, 1/8, 1/16, 1/32, …
Answer:
C
Step-by-step explanation:
Given
- 5, - 1, 3, 7, 11
There is a common difference d between consecutive terms, that is
11 - 7 = 7 - 3 = 3 - (- 1) = - 1 - (- 5) = 4
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 5 and d = 4 , thus
[tex]a_{n}[/tex] = - 5 + 4(n - 1) = - 5 + 4n - 4 = 4n - 9
The diagonal of a rectangular room is 52 ft long. One wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.
Answer:
The dimensions of the rectangular room is 48 ft by 20 ft
Step-by-step explanation:
Drawing a Diagonal line in a rectangle forms two right angle triangles
The diagonal line will represent the hypotenuse
In a right angle triangle:
Hypotenuse^2= adjacent^2+opposite^3
One wall measures 28 ft longer than the adjacent wall.
Let the adjacent=x ft
Opposite=28+x ft
Hypotenuse=52 ft
Hypotenuse^2= adjacent^2+opposite^3
52^2 = x^2 + (28+x)^2
2704 =x^2 + 784 + 56x + x^2
2704=2x^2+784+56x
2x^2+56x+784-2704=0
2x^2+56x-1920=0
Solve the quadratic equation using the quadratic formula
x= -b +or- √b^2-4ac / 2a
a=2
b=56
c=-1920
x= -b +or- √b^2-4ac / 2a
= -56 +or- √56^2 - (4)(2)(-1920) / (2)(2)
= -56 +or- √3136 - (-15,360) / 4
= -56 +or- √3136+15,360) / 4
= -56 +or - √ 18496/ 4
= -56 +or- 136 / 4
x= -56 + 136 / 4
=- 56/4 + 136/4
= -14+34
=20
OR
x= -56 - 136/4
= -56/4 - 136/4
= -14 - 34
= -48
The value of x can't be negative, so will use the positive value of x which is 20
Recall,
Adjacent=x
=20 ft
Opposite=28+x ft
=28+20
=48 ft
The dimensions of the rectangular room is 48 ft by 20 ft
Which of these triangle pairs can be mapped to each other using a reflection and a translation?
Answer:
Figure 1.
Step-by-step explanation:
The triangle pairs are missing, I researched and was able to find the triangle pairs attached to the question. I will attach the triangles, and in addition to that we will say the reasons that each one meets or does not meet with respect to the conditions of the question.
Only the first figure shows that the pairs of triangles can be mapped to each other using two reflections.
Here reflection can be done through the XY side followed by reflection through the YT side. So when we reflect the triangle XYZ through the XY side, we get the triangle XYT and then we reflect the triangle XYT through the YT side and we get the triangle PYT.
Answer:
Just here saying its not figure one it b the one above me is wrong sorry for the people who um listen to him like me
Step-by-step explanation:
Which ordered pair is a solution of the equation? 2x+4y=6x-y OPTION A: Only (4,5) OPTION B: Only (5,4) OPTION C Both A and B OPTION D None
Answer:
option b
Step-by-step explanation:
replace x and y with the x and y of the ordered pair
option a: 2(4)+4(5)=6(4)-5
solve
8+20=24-5
28=19 not true
option b:2(5)+4(4)=6(5)-4
solve
10+16=30-4
26=26 true
This figure represents a step in a compass-and-straightedge construction. Identify the construction.
Answer:
It looks like a DNA strand or an infinity sign
Step-by-step explanation:
Idk if that's the correct answer tho sorry.
Answer: perpendicular bisector
Step-by-step explanation: A line drawn through points C and D will be perpendicular to line segment AB and it will bisect AB
The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.
Answer:
$342
Step-by-step explanation:
Let the total cost of the dinner = C
If it was shared equally by k employees who attended the dinner and each of the k employees who shared the cost of the dinner paid $19.
We have:
[tex]\dfrac{C}{k}=19 \\\\C=19k[/tex]
If the total cost(C) had been shared equally by k + 1 employees who attended the dinner, each of the k + 1 employees would have paid $18.
This written mathematically is:
[tex]\dfrac{C}{k+1}=18 \\\\C=18(k+1)[/tex]
Equating the cost, C from both equations
19k=18(k+1)
19k=18k+18
19k-18k=18
k=18
Therefore, the total cost of the dinner,
C=19k
=19 X 18
=$342
Cathy received a gift of $2,000 to buy a new car when she graduates in a year. She decides to use this money to purchase stock in a new, alternative energy company. Is this a good investment decisions?
A.No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.
B.Yes, because alternative energy companies guarantee investors a minimum yearly profit.
C.Yes, because the FDIC insures this type of investment.
D.No, she should have invested in technology instead.
Answer:
a. No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.
Step-by-step explanation:
Stocks are a riskier investment in comparison to bonds, and may pay higher interest rates, but still require the investment to "sit" for a long period of time. Like a 3 month (APY of about .50%), 6 month (APY of about .30%), 8 month (APY of about .10%), etc. bond, stocks will not grow considerably in a short amount of time.
A Ferris wheel is 15 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent higher than 15 meters above the ground?
Answer:
The number of minutes of the ride that are spent higher than 15 meters above the ground is 18 minutes.
Step-by-step explanation:
We will use the sin function for the height of the Ferris wheel.
[tex]y=A\ sin(B(x+C))+D[/tex]
A = amplitude
C = phase shift
D = Vertical shift
2π/B = period
From the provided information:
A = 15/2 = 7.5 m
[tex]Period=2\\\\\frac{2\pi}{B}=2\\\\B=\pi[/tex]
Compute the Vertical shift as follows:
D = A + Distance of wheel from ground
= 7.5 + 1
= 8.5
The equation of height is:
[tex]h(t)=7.5\cdot sin(\pi (t+C))+8.5[/tex]
Now at t = 0 the height is, h (t) = 1 m.
Compute the value of C as follows:
[tex]h(t)=7.5\cdot sin(\pi (t+C))+8.5[/tex]
[tex]1=7.5\cdot sin(\pi (0+C))+8.5\\\\-7.5=7.5\cdot sin\ \pi C\\\\sin\ \pi C=-1\\\\\pi C=sin^{-1}(-1)\\\\\pi C=\frac{3\pi}{2}\\\\C=\frac{3}{2}[/tex]
So, the complete equation of height is:
[tex]h(t)=7.5\cdot sin(\pi (t+\frac{3}{2}))+8.5[/tex]
Compute the number of minutes of the ride that are spent higher than 15 meters above the ground as follows:
h (t) ≥ 15
[tex]h(t)=15\\\\7.5\cdot sin(\pi (t+\frac{3}{2}))+8.5=15\\\\7.5\cdot sin(\pi (t+\frac{3}{2}))=6.5\\\\sin(\pi (t+\frac{3}{2}))=\frac{6.5}{7.5}\\\\(\pi (t+\frac{3}{2}))=sin^{-1}[\frac{13}{15}]\\\\\pi (t+\frac{3}{2})=60.074\\\\t+\frac{3}{2}=19.122\\\\t=17.622\\\\t\approx 18[/tex]
Thus, the number of minutes of the ride that are spent higher than 15 meters above the ground is 18 minutes.
He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get to the end of the trail
Answer:
[tex]10x^2-x+3[/tex] miles.
Step-by-step explanation:
It is given that,
Total length of park trail = [tex]10x^2+4x+2[/tex] miles
Total length traveled by hiker = [tex]5x-1[/tex] miles
We need to find the length of trail hiker need to travel to get to the end of the trail.
Required length [tex]=10x^2+4x+2-(5x-1)[/tex]
[tex]=10x^2+4x+2-5x+1[/tex]
[tex]=10x^2+(4x-5x)+(2+1)[/tex]
[tex]=10x^2-x+3[/tex]
Therefore, hiker need to travel [tex]10x^2-x+3[/tex] miles to get to the end of the trail.
PLEASE! NEED HELP!!!
Answer:
x² + 2x + 2 = 0Step-by-step explanation:
Formula for finding a quadratic equation when its roots are given is
x² - ( sum of roots)x + product of roots=0
The roots are
- 1 + i
- 1 - i
Sum of roots is = - 1 + i - 1 - i = -2
Product of roots is = ( -1 + i)(- 1 - i)
= 1 + 1 = 2
So the quadratic equation is
x² - (-2)x + 2 = 0
x² + 2x + 2 = 0Hope this helps you
Answer:
x^2+2x+2
Step-by-step explanation:
to find b in the equation :
b^2<4ac when having two complex roots
the required equation is x2 - Sx + P = 0
the sum of the roots :-1-i+-1-i=-2
the product=2
so the equation: x^2-(-2)x+2
x^2+2x+2
What is the approximate diameter of a sphere with a volume of 34 cm
Answer:
The diameter is 4cmStep-by-step explanation:
Volume of a sphere is
[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]
Where r is the radius
diameter = radius × 2
To find the diameter we must first find the radius
Volume = 34cm³
That's
[tex]34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm[/tex]
Diameter = 2 × 2cm
= 4cmHope this helps you
Answer:
The answer is 4
Step-by-step explanation:
Erica's collection has 3 times as many action figures in it as Ricardo's collection. They have 68 action figures together. How many action figures does Erica have? How many action figures does Ricardo have
Answer:
Erica has 51 action figures and Ricardo has 17 action figures.
Step-by-step explanation:
First, label your variables.
x=the number of action figures Erica has
y=the number of action figures Ricardo has
You know that they have 68 total action figures so x+y=68.
Erica has 3 times as many as Ricardo so 3y=x. Then solve for x and y.
x+y=68 3y=x (Substitue 3y for x)
3y+y=68 (Then combine like terms)
4y=68 (Divide each side by 4)
y= 17
Now that you know that Ricardo has 17 action figures, you can plug 17 in for y in either equation to find x.
3(17)=x
x=51
To check your answers, you can plug them back into the original equations.
Answer:
Erica:51 action figures; Ricardo: 17 action figures
Reason:
68/4=17
17*3=51<- this is the amount of action figures that Erica has.
17 <-this is the amount of action figures that Ricardo has.
17 (Ricardo) + 51 (Erica) = 68 (total amount)
How are periodic phenomena relatively easy to model using trig functions? What makes them difficult to model this way?
Answer:
Periodic phenomena means that the phenomena has a (almost) constant time period or space period.
As you know, the trigonometric functions cos(x) and sin(x) also have a constant period of 2*pi, so these functions are really useful to model periodic phenomena.
Now, the problem may be that the trigonometric functions may be useful to describe the "periodic" part, but not to describe the actual phenomena.
An example of this can be a square alternating current.
While it has a constant period like a trigonometric function, the trigonometric functions can not really model the "square" part of this current (you know that the sinusoidal functions actually are curves and continuous)
Here comes something called the Fourier Series, that are series of the form:
F(x) = a₀ + ∑(aₙ*cos(nx) + bₙ*sin(nx))
That can be used to model almost any periodic phenomena, but the actual Fourier Series may be hard to construct.
what is: 1/1+a+b^-1 + 1/1+b+c^-1 + 1/1+c+a^-1 please write the steps and explain
Step-by-step explanation:
The expression:
[tex]\frac{1}{1+a} + b^{-1} + \frac{1}{1+b} + c^{-1} + \frac{1}{1+c} + a^{-1}[/tex]
It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.
The second case is more plausible, given there are no values given for a, b, and c.
The expression can be rewritten as:
[tex]a^{-1}+b^{-1}+c^{-1} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]
When a number has an index of -1, it is the same as taking the reciprocal of the number.
That is;
[tex]a^{-1} = \frac{1}{a}[/tex]
Therefore, the whole expression gives:
[tex]\frac{1}{a} + \frac{1}{b} + \frac{1}{c} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]
Taking the common denominator in the first three expressions, we have
[tex]\frac{a+b+c}{abc} + \frac{1}{1+a} +\frac{1}{1+b} + \frac{1}{1+c} \\[/tex]
It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.
The expression:
It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.
The second case is more plausible, given there are no values given for a, b, and c.
The expression can be rewritten as:
When a number has an index of -1, it is the same as taking the reciprocal of the number.
That is;
Therefore, the whole expression gives:
Taking the common denominator in the first three expressions, we have
It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.
for f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x) A. 2x^2-15 B.X^2+2x-6 C.2x^3-6 D.x^2+2x+8
Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= 2x + 1 + x² - 7 ← collect like terms
= x² + 2x - 6 → C
Okay HELP i have to questions in one problem.
Question number 1 : Rihannon has a rectangular bedspread that measures 234 inches by 245 inches. She wants to sew a fringe around the edge of the bedspread. What LENGTH of fringe does rihannon need to purchase???
Question number 2 : Rihannon gets a new bedspread that is 33 inches longer. What LENGTH of fringe does Rihannon need for the longer bedspread??? PLEASEEE HELP
Answer:
1) To calculate length of fringe, we need to find the perimeter
The question does not clearly say how much is length and width
Assuming length = 245 and width = 234 inches
P = 2(length + width)
P = 2 ( 245 + 234)
P = 2 (479)
P = 958 inches
2) To calculate length of fringe, when length is increased by 33 inches
P = 2 ( l + w)
P = 2 (278 + 234)
P = 2 x 512
P = 1024 inches
A horizontal translation is used to move quadrilateral onto quadrilateral Z ′. Use the drop-down menus to describe the horizontal translation used.
Answer:
10 to the left I believe
Step-by-step explanation:
which of the following box plots best represents the set of data below?
Answer:
not sure
Step-by-step explanation:
Answer:
answer B
Step-by-step explanation:
to set up whisker plots you have to find the 1st 2nd and 3rd quartile.
hopes this helps
Explain how rays AB and AC from both a line and and angle.
Answer:
plz give brainliest
Step-by-step explanation:
Points A, B, and C lie on a line.
Point A is between points B and C.
Starting at point A and going past point B, you have ray AB.
Starting at point A and going past point C, you have ray AC.
If you think of angle BAC, it is a straight angle of 180 degrees.
You have the two rays AB and AC forming a line and an angle.
Hello! I'm stuck on Pythagorean theorem in geometry. There are some numbers that suppose to have a line on top but I don't know how to put it on top of the number, I just put this `. So, here's the problem: Which side lengths form a right triangle? A. 2,2, v```4``
Choice A: [tex]2,2, \sqrt{4}[/tex]
Choice B: 9, 40, 41
Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]
Answer:
(B)9, 40, 41
Step-by-step explanation:
To check if the sides form a right triangle, you check to see if they satisfy the Pythagorean theorem.
[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Note that the longest side length is always the hypotenuse.
Choice A: [tex]2,2, \sqrt{4}[/tex]
Now, [tex]\sqrt{4}=2[/tex]
Therefore:
[tex]2^2\neq 2^2+2^2\\4 \neq 8[/tex]
These side lengths form an equilateral triangle. They do not satisfy the theorem.
Choice B: 9, 40, 41
The longest side length is 41.
[tex]41^2=1681[/tex]
[tex]40^2+9^2=1681[/tex]
Therefore:
[tex]41^2=40^2+9^2[/tex]
These side lengths form a right triangle.
Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]
[tex]\sqrt{5} \approx 2.24 \\ \sqrt{125}\approx11.18[/tex]
Therefore, the longest side length is [tex]\sqrt{125}[/tex]
[tex](\sqrt{125})^2=125\\(\sqrt{5})^2+10^2=5+100=105\\\\(\sqrt{125})^2 \neq (\sqrt{5})^2+10^2[/tex]
These side lengths do not form a right triangle.
A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially, what was the growth rate?
Answer:
The growth rate is 7.2%
Step-by-step explanation:
First thing we need to do here is to set up an exponential equation;
This can be written as follows;
F = I(1 + r)^t
where F is the future value = 20,000
I is the initial value = 10,000
r is the rate in percent which we want to calculate
t is time in years = 10 years
Substituting the values in the question into the exponential equation, we have;
20,000 = 10,000(1 + r)^10
divide both side by 10,000
2 = (1+r)^10
Find the 10th root of both sides
1+ r = 2^(1/10)
1 + r = 1.07177346254
r = 1.07177346254-1 = 0.07177346253
Let’s approximate r as 0.072
Now this to percentage?
That would be 72/1000 * 100% = 7.2%
1. What is the lateral surface area of a solid 8 meters high
whose base is the figure at right? Dimensions are in meters.
2. Which inequality corresponds to the graph at right?
Answer:
Step-by-step explanation:
To calculate the lateral surface of this shape we must divide it into 3 parts :
Part 1 : the half cylinder with the radius r=15We must calculate its perimeter P1 :
P1 = (15*2)*π/2 = 30*π*(1/2)=15π
Part 2 : the half cylinder with the radius r=12-5=7We must calculate its perimeter P2:
P2= (7*2)*π/2=14*π*(1/2)= 7π
Part 3 : the cubeWe won't calculate its perimeter because it has some common sides with the cylinders .
Let P3 be the perimeter of what's remaining from the cube
P3=12+5= 17
Now the total perimeter : Pt
Pt= 15π+7π+17= 22π+17
The lateral surface : Ls
Ls= (22π+29)*8= 784.92 m²
The inequality : -1<x≤4if f(x) = - 5^x - 4 and g (x) = - 3 x - 2 find (f - g) (x)
O A. ( f - g )(x) = 5^x - 3x + 2
O B. ( f - g )(x) = -5^x - 3x - 6
O C. ( f - g )(x) = - 2x -2
O D. ( f - g )(x) = -5^x + 3x - 2
Answer:
answer D
Step-by-step explanation:
hello,
[tex]f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2[/tex]
hope this helps
The value of function (f - g) (x) is,
⇒ 5ˣ + 3x - 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Functions are,
⇒ f (x) = - 5ˣ - 4
⇒ g (x) = - 3x - 2
Hence, We get;
The value of function (f - g) (x) is,
⇒ (f - g) (x)
⇒ f (x) - g(x)
⇒ (5ˣ - 4) - (- 3x - 2)
⇒ 5ˣ - 4 + 3x + 2
⇒ 5ˣ + 3x - 2
Thus, The value of function (f - g) (x) is,
⇒ 5ˣ + 3x - 2
Learn more about the function visit:
https://brainly.com/question/11624077
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