If f(x) = x3 – 1 and g(x) = 2x - 1, which choice is equivalent to g(f(x))?
A)
x3 - 3
B)
2x3 - 3
)
2x3 - 2
D)
223 - 1

Answers

Answer 1

The equivalent function of g(f(x)) for the given function  is 2x³ - 3.

Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

We have been given that

f(x) = x3 – 1

g(x) = 2x - 1

and find out g(f(x)) =?

The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.

g(f(x)) = 2(f(x))- 1

Put the value of f(x) in the equation

g(f(x)) = 2( x³ - 1) -1

g(f(x)) = 2 x³ - 2 -1

g(f(x)) = 2 x³ - 3

Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).

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Related Questions

Select all the true statements. Group of answer choices The ratio of triangles to squares is 2 to 4. The ratio of squares to smiley faces is 6:4. The ratio of smiley faces to triangles is 6 to 4. There are two squares for every triangle. There are two triangles for every smiley face. There are three smiley faces for every triangle.

Answers

Answer:

The ratio of triangles to squares is 2 to 4

There are two squares for every triangle.

There are three smiley faces for every triangle.

Step-by-step explanation:

The number of triangles, smiley and squares are shown in the diagram attached.

From the diagram, there are 6 smiley faces, 2 triangles and 4 squares.

A ratio compare two or more values, thereby showing how many times one number contains the other.

A) Correct. The ratio of triangles to squares = number of triangle / number of square = 2 / 4 = 2 to 4

B) Incorrect. The ratio of squares to smiley faces = number of square / number of smiley face = 4 / 6 = 4 to 6

C) Incorrect. The ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 6 to 2

D) Correct. Since the ratio of squares to triangles =  number of squares / number of triangle = 4 / 2 = 2 / 1 = 2 to 1, hence there are two squares for every triangle

E) Incorrect. Since the ratio of triangles to smiley faces =  number of triangle / number of smiley faces = 2 / 6 = 1 / 3 = 1 to 3, hence there is one triangle for every 3 smiley faces

F) Correct. Since the ratio of smiley faces to triangles =  number of smiley faces / number of triangles = 6 / 2 = 3 / 1 = 3 to 1, hence there is 3 smiley faces for every one triangle

a= 18 in.
C = 82 in.
What is the length of b?

Answers

Answer:

B should equal 80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80

5- ܫ ܐx
.9
Use square roots

Answers

Ummmm let me see I will add a comment when I get the answer

Geometry Question: Image is provided below.

Please show all work and your steps.

25 points

Answers

We know that the angle above 10x + 54 must be 8x because of Alternate angles. And we also know that angles in a straight line add up to 180. So we can infer that 10x + 54 + 8x = 180
We can simplify that into 18x + 54 = 180
Now we take away 54 from both sides to get 18x = 126
Now divide both sides by 18 and we get
x = 7.
Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.

Take away 14 from both sides; 11y = 110
Now divide both sides by 11 and we get
y = 10

So x = 7 and y = 10
I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)

Answer:

x=7

y=10

Step-by-step explanation:

8x and 11y+14 are same side interior angles so they add to 180 degrees

11y+14 and 10x+54 are vertical angles so they are equal

8x + 11y+14 = 180

11y+ 14 = 10x+54

Substitute 10x+54 for 11y+14 in the first equation

8x +10x+54 = 180

Combine like terms

18x+54 =180

Subtract 54

18x+54-54=180-54

18x =126

Divide by 18

18x/18 = 126/18

x=7

Now we can find  y

11y+ 14 = 10x+54

11y + 14 = 10*7+54

11y+14 = 70+54

11y+14 =124

Subtract 14 from each side

11y = 124-14

11y =110

Divide by 11

11y/11=110/11

y =10

A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4

Answers

Answer:

A

Step-by-step explanation:

31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4

What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.

Answers

Answer:

A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:

Answer:

the person above me is correct

Shark  boi U~U

Geometry homework!
Hiii I’m having a really hard time with my homework, by any chance do you know the right answer?
Thank you!

Answers

Answer:

D

Step-by-step explanation:

The numbers between the < , > show the change from the preimage to the image. So, <-2,3> would be the x - 2 and the y + 3.

So, A(5,6) -> A'(3,9)

B(6,-3) -> B'(4,0)

C(7,2) -> C'(5,5)

Plz answer it’s timed

Answers

Answer:

1,5

Step-by-step explanation:

cuz it's part of the green

Help!
Which solution(s) are correct?

Answers

Answer: D. Matthew’s, Rhoda’s, and Ming’s

Step-by-step explanation:

√0.89 ≈ 0.94

Anyah is incorrect because both of her decimals are smaller than √0.89.

Matthew is correct because 0 is less than 0.89 but 1 is still greater than 0.89.

Rhoda is correct because 0.9² is 0.81 is less than 0.89 but 1.0² is 1 which is still greater than 0.89.

Ming is correct because 0.93² is about 0.87 which is less than 0.89 but 0.95² is about 0.9 which is still greater than 0.89.

I hope this helps!

solve for x
(3/x-c)=(4/x-d)

Answers

9514 1404 393

Answer:

  x = 4c-3d

Step-by-step explanation:

Cross multiply, separate variables terms and constant terms.

  [tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]

The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service Which equation can be used to determine c, the monthly charge based upon the number of minutes (m) of service each month. C = 25m + 0.05 c = 25m + 0.05 c = 0.05m + 20 c = 0.05m + 20 c = 25m + 0.05 c = 25m + 0.05 m = 0.05c + 30

Answers

Answer:

c= 25+0.05m

Step-by-step explanation:

Given that,

The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.

$25 is fixed here and charge $0.05 for each minute of service.

We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.

c= 25+0.05m

Hence, this is the required equation.

What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X​

Answers

Answer:

y = x + 2

Step-by-step explanation:

I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.

Answers

Answer:

x = 32.5

y = 65

Step-by-step explanation:

y = 65 degrees

65 and y are the base angles in an isosceles triangle ( single lines)  so they are equal

y+z = 180 since they form a straight line

65+z = 180

z = 180-65

z = 115

The second triangle is also an isosceles triangle so the base angles are the same as shown by x

180 = x+x+z

180 =2x+ 115

65 = 2x

Divide by 2

x = 32.5

The parallelogram shown below has an area of 140

Answers

9 unit sqr of the triangle..

Help please! Only answer if you know for sure.

Answers

Answer:

c I am 100% sure

Step-by-step explanation:

The answer is “c” I put the chart in a calculator

What are two different ways of saying "find the
solution"?

Answers

Answer:

find the difference.   find the sum

Step-by-step explanation:

A submarine dives below the surface, heading downward in four moves. If each move downward was 235
feet, where is the submarine after it is finished diving?
The submarine would be
feet below sea level, or
feet.

Answers

Answer:

Step-by-step explanation:

It drops 235 feet per move.

235 * 4 = 1140 feet below sea level.

-1140 is also possible.

Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:

After 15 years?

(round to the hundredths place

Answers

Answer:

608.33

Step-by-step explanation:

will you guys help me with anything i need?


(don't listen about the subject for now i just need to know)

Answers

Answer:

Ummm yeah , i'm literally a nice person and a good listener .

Step-by-step explanation:

Can i pls have brainly ? <3

Answer:

yes

Step-by-step explanation:

hjoyybhfddsjjsjajajdhvdbenwkwq

y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?

Answers

The x-intercepts of an equation are simply the zeros of the equation

The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts

The equation is given as:

[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]

Set the equation to 0; i.e. calculate the zeros

[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Divide both sides by constant b

[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Split the above equation, as follows

[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]

Solve for x in each of the equation

[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

Remove repeated solutions

[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

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In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?

Answers

Answer:

The endpoint of an angle  

x

lies in the 4th quadrant. Here is why.

First of all, let's recall a few definitions.

Recall the definition of a trigonometric function  

sec

(

x

)

:

sec

(

x

)

=

(by definition)  

=

1

cos

(

x

)

Recall the definition of a trigonometric function  

cot

(

x

)

:

cot

(

x

)

=

(by definition)  

=

cos

(

x

)

sin

(

x

)

Step-by-step explanation:

jhyjyujtyuyju

The average fun size Snickers bar has the mass of 20.1 grams with a standard deviation of 0.7 grams What percent of Snickers bars have a mass more than 21.5 grams?

Answers

Step-by-step explanation:

The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.

1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))

a. The population is approximately normal.

b. The population standard deviation is known.

c. The sample taken is a random sample.

d. The population standard deviation is unknown. e

. The degrees of freedom is 0.01.

f. The sample size is greater than 30.

2. Which of the following statements is correct?

a) Parameters describe sample characteristics.

b) Statistics describe population characteristics.

c) We use statistics to estimate the value of parameters.

d) We use parameters to estimate the value of statistics

Expert Answer

The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.

To find the percentage of Snickers bars with a mass more than 21.5 grams,

use the concept of standard normal distribution.

Calculate the z-score for 21.5 grams.

The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.

Here

x = 21.5 grams

μ = 20.1 grams (mean)

σ = 0.7 grams (standard deviation)

z = (21.5 - 20.1) / 0.7

z = 1.4 / 0.7

z = 2

The percentage of values greater than the z-score in the standard normal distribution calculator.

The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.

Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.

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If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?

Answers

Answer:

3hours and 15 mins

Step-by-step explanation:

210 divied by 3=70

70=per hour

4 hours=280

70 divied by 2= 35

.5=35

280+35=315

315 miles in 4.5 hours

Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1

Answers

Answer:

= 4

Step-by-step explanation:

2a^2-4b

=2(2)^2-4(1)

=2×4-4

= 8-4

=4

How many gallons of water are in a 2 gallon pitcher that is 3/4 full?

Answers

Answer:

1.5 gallons

Step-by-step explanation:

2 x 0.75

1.5 gallons

Brainliest appreciated!

Answer:

1.5 gallons

Step-by-step explanation:

1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.

Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29

Answers

Step-by-step explanation:

Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value

I don't understand this at all. Can you help me solve this please :) ​

Answers

Answer:

y = -1/2x +3

Step-by-step explanation:

basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line

Need help with 5-8 with working out will be marking brainliest

Answers

Answer:

hope to have helped you:)

what a number named as a googolplexian might be ?

Answers

Answer:

A 1 with a hundred 0's following it

Step-by-step explanation:

7

Pls answer I’m to tired for this
What is the midpoint
between (-2, -3) and
(1, 2)?
a) (-1,-)
b) (-:-)
c) (-1,-)
d) (-3,-)

Answers

Answer:

I think it's B

...........

Answer:

d

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus

midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) =  ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d

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