What is the inverse of the function f(x) = 2x + 1?
Oh(x) =
1
2
Ex-
o hx) = x + 2
1
h(x) = x-2
2
Oh(x) =
2
1x+2
Answers
Answer:
(1/2)x-1/2 hope this is the answer if it's not then srr
The inverse of the function is h ( x ) = (1/2)x - 1/2
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 2x + 1
The inverse of the function is calculated by taking the x coordinate and replacing it with y
So , the function now becomes
x = 2y + 1
On simplifying , we get
Subtracting 1 on both sides , we get
2y = x - 1
Divide by 2 on both sides , we get
y = ( x - 1 ) / 2
Now , replacing y with x , we get
h ( x ) = ( x - 1 ) / 2
h ( x ) = ( 1/2 )x - ( 1/2 )
Hence , the inverse of the function is h ( x ) = ( x - 1 ) / 2
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ7
Related Questions
Compute and simplify the following: (a+b+c)^3
Answers
Answer:
a^3+3a^2b+3a^2c+3ab^2+3ac^2+6abc+b^3+c^3+3bc^2+3b^2c if you want it expand
(a+b+c)(a+b+c)(a+b+c) is equal to (a+b+c)^3
AA
SSS
SAS
Not Similar
Answers
Answer:
vertically opposite angles and alternate pair
so by aa similarity they are similar
Marcus makes a punch that is 1/4 cranberry juice. Write two fractions that are equivalent to 1/4.
Answers
What value of x is in the solution set of 8x – 6 > 12 + 2x?
Answers
Answer:
the answers are -1, 0, 3, and 5
Step-by-step explanation:
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is ||32|| cm||^2||.
Find the dimensions of the rectangle.
(2 marks)
cm
~ Width =
cm
O Height =
Submit Answer
Skip for Now
ㅇ
a
1
in here to search
Answers
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²
Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3, 5).
PLEASE ANNOTATE SOME IMAGE AND SEND ME IM DESPERATE CORRECT ANSWER GETS LE BRAINLY
Answers
a point is chosen at random in the circle. What percent of the time will the point be in the square? Round to the nearest tenth of a percent.
Answers
Answer:
P = 0.637
Step-by-step explanation:
By a small online search, i've found that the image is a circle of radius R = 1in, and a square inside of the circle, such that the distance between the center of the square and the one vertex of the square is one inch.
To solve this problem, we need to find the area of each figure.
The area of a circle of radius R is:
A = 3.14*R^2
Then the area of our circle is:
A = 3.14*(1in)^2 = 3.14 in^2
Now for the square.
If the distance between the center and one vertex is 1 inch, then the distance between two opposite vertex is twice that: 2 inches.
Now we can think of a triangle rectangle, where both catheti are equal to L, the side length of the square, and the hypotenuse is 2 inches.
Using the Pythagoreans theorem, we get:
L^2 + L^2 = (2in)^2
2*L^2 = (2in)^2
L^2 = (2in)^2/2 = 2 in^2
L = √(2 in^2) = √2 in
And the area of a square of side length L, the area is:
A = L^2
Then the area of our square is:
A = (√2 in) = 2 in^2
Then:
Area of the circle = 3.14 in^2
Area of the square = 2 in^2
The area of the circle represents the 100% (if a point is chosen at random in the circle, the probability that the point will be inside the circle is P = 1)
The probability that the point will be inside the square is equal to the quotient between the area of the square and the area of the circle, this is:
P = (2 in^2)/(3.14 in^2) = 0.637
tan23.tan35.tan60.tan67.tan55 =
(a) 1 (b) 1/√3 (c) √3 (d) 0
maths
STD 10
Answers
Answer:
c
Step-by-step explanation:
since all the tangent(tan) angles are multiplying,
you factor tan out and multiply the numbers. that's : tan( 23+35+60+67+55)
tan(240)
tan(240) =√3
PLEASE HELP QUICK If the bill is $47.96 and you leave a 15% tip, what is the tip amount?
Answers
Because 15% equals 0.15 so 47.96x0.15=$ 7.19
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed between the dock and the ship. How far is the ship from the dock?
Answers
Answer:
The distance from the ship to the dock is approximately 5.24 miles
Step-by-step explanation:
From the parameters given in the question, we have;
The angle formed between the dock and the lighthouse = 70°
The angle formed between the dock and the lighthouse at the ship = 80°
The distance between dock and the lighthouse = 5 miles (From a similar question online)
By sine rule, we have;
[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}[/tex]
Therefore, we have;
[tex]\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}[/tex]
[tex]\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}[/tex]
[tex]sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi[/tex]
Therefore;
The distance from the ship to the dock ≈ 5.24 miles
Can you explain how you got the answer as well please?
Answers
Answer:
A. 35
Step-by-step explanation:
The total amount of movies that the critic rates that we are given is 20. Now they want to figure us to figure it out with 100 movies. 20 times 5 is one hundred. We are supposed to look at the 3 star reviews, which is 7 movies. 7 times 5 is 35. Hope this helps!
Answer:
The answer is option A
Step-by-step explanation:
I have shared a file with the steps if you still can't understand so feel free to contact me through my email. Thanks.
Why
is 30% of 40
and 40% of 30 the
same?
Answers
Answer:
no it's different 30% would be 12 and 40% would be 16 if it was going into 30 now mark as brainliest
Answer:
In both cases you are really multiplying the same numbers together.
Step-by-step explanation:
30% of 40 would be 30 x 40 x 0.01 = 12
or 0.30 x 40 = 12
40% of 30 would be 40 x 30 x 0.01 = 12
or 30 x 0.40 = 12
evaluate the following expressions -5+2(8-12)
Answers
Answer:
[tex] - 13[/tex]
Step-by-step explanation:
1) Simplify 8 - 12 to -4.
[tex] - 5 + 2 \times - 4[/tex]
2) Simplify 2 × -4 to -8.
[tex] - 5 - 8[/tex]
3) Simplify.
[tex] - 13[/tex]
Therefor, the answer is -13.
Answer:
- 13
Step-by-step explanation:
Hope this will help
Which word phrase represents the following
expression: 5. 3?
Answers
Answer:
Step-by-step explanation:
5.3 in words is "five point three," meaning 5 3/10 ("five and three tenths."
Answer:
five dot three which means 5.3 is five dot three
what is it please?*mmm,mmjjjjjjn
Answers
Answer:
y=-4x
Step-by-step explanation:.
3. If
15
x+20'
what is the value of?
X
Answers
Determine the degree of the following polynomial: - 4x + 10
Answers
Answer:
yeah it si correct
Step-by-step explanation:
4x-5x²+6x³/2x=4x-5x²+3x²=4x-2x²
therefore the degree of the following polynomial is 2
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 7) and (2, 252)
Answers
Answer:
y=7(6)^x
xStep-by-step explanation:
The Lorax can sell his Tuffla for $ .25 per pound. How much money will he earn if he sells 50,265 pounds?
Answers
Answer:
$12566.25
Step-by-step explanation:
because .25 is 1/4 of $1 all you have to do is divide 50,265 by 4 and that's your answer
you could also just multiply .25 by 50,265 to make it simpler and it'll come with the same answer
A ball dropped a height from 100 m
Each time it hits the ground, it bounces 3/5 of the height it fell from.
How high did it bounce
A) on a first bounce?
B)on a second bounce?
Answers
90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96 Part C: Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? A. Yes, because there are 9 ponies with a height of at least 96 centimeters and that is 60% of her ponies. B. No, because there are 5 ponies with a height greater than 96 centimeters and that is about 36% of her ponies. C. Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller. D. No, because there are 4 ponies with a height of 96 centimeters and that is about 27% of her ponies.
Answers
Answer:
Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller.
Step-by-step explanation: I think so
Use the give information to prove that a || b. Given 2= 6 prove a || b
Answers
Answer:
Since 2=6 is false, there is no solution.
Step-by-step explanation:
In the diagram, the measure of angle 1 is 116°, the measure of angle 2 is (8x)°, and the measure of angle 6 is (x + 12)°
What is the measure of angle 8, to the nearest degree?
14°
20°
52°
64°
Answers
Answer:
b
Step-by-step explanation:
Answer:
20 or B
Step-by-step explanation:
Edge 2021
What is x equal to in the following equation:
3^x=81
x=?
A. 2
B. 3
C. 4
D. 5
Answers
Answer:
3^4
Step-by-step explanation:
X = 4 or C
because, 3 x 3 x 3 x 3 = 81
Help me please. And if you can explain but if not its ok
Answers
Answer:
B. 13√3
Step-by-step explanation:
Apply pythagorean theorem:
Thus, we have:
x² = (12√3)² + (5√3)²
x² = 432 + 75
x² = 507
x = √507
x = 13√3
Pls help!!
If the table below represents the number of cars sold in September , who sold the most cars?
A. Sara
B. Randy
C. Frank
D. Alice
Answers
Answer: C. Frank
Step-by-step explanation:
Frank sold 25 cars which is the highest amount.
y = 5 4x+6y= 62 Solve forx
Answers
Answer:
x = 8
Step-by-step explanation:
4(8) + 6(5) = 62
32 + 30 = 62
62 = 62
Answer:
x = 8
Step-by-step explanation:
y = 5 and 4x + 6y = 62
4x + 30 = 62
Subtract 30 from each side:
4x + 30 - 30 = 62 - 30
4x = 32
Divide each side by 4:
4x ÷ 4 = 32 ÷ 4
x = 8
maggie is baking 8 dozen cookies. the recipe she is using makes 24 cookies. she needs 2/3 cup of flour for one recipe. how much flour will she need?
Answers
Answer: 2 2/3 cups of flour
Step-by-step explanation:
Maggie is baking 8 dozen cookies.
8 dozen is equal to 96 cookies as 8×12=96
One recipe is equal to 24 cookies and for each recipe she'll need 2/3 cup of flour.
So you divide 96 by 24 which is equal to 4.
Therefore, you will need 4 recipes worth of flour.
4×2/3=2 2/3
So Maggie would need 2 2/3 cups of flour
Pls how can I round the following figures to the nearest ten, hundred, thousand (1)46,586 (2)213,340 (3)391,565
Answers
Answer:
Step-by-step explanation:
Sample Nearest 10 nearest hundred nearest thousand
1 46590 46500 47000
2 213340 213300 213000
3 391560 391600 392000
The table above is actually the answers. The rule is this:
If you want to round to the nearest 10, go to the tens place.Observe the units placeIf the units place is 5 or more, round the 10s place up one.Show the units place as a zeroIf the units place is 4 or less, leave the 10s place alone. Make the units place 0. Rounding to the tens place always gives a 0 at the units placeIf you want to round to the 100s place
Round the hundreds place using the five or more or 4 or less rule from the above rules.You should have 2 zeros at the end.If you want to round to the 1000s place
Round the thousands place using the five or more or 4 or less rule from the above rules.You should have 3 zeros at the end.Suppose f(x) =log(x-3) and a g(x)=x+4.
Find the domain of. (fog)(x)
Answers
Answer:
x > -1
Step-by-step explanation:
p = (f o g)(x) = log ((x+4)-3)
p = log (x+1)
so that p has a value,
the value of x + 1 mus be greater than 0
x + 1 > 0
x > -1
so the domain is x > -1
Domain = {x | x > -1, x must real number}