What is the inverse of the function g(x)=x^3/8+16?

What Is The Inverse Of The Function G(x)=x^3/8+16?

Answers

Answer 1

I think this is the function
What Is The Inverse Of The Function G(x)=x^3/8+16?
Answer 2

The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]  is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

What is inverse of the function?

"The inverse function of a function f (also called the inverse of f ) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by  [tex]f^{-1}[/tex]."

We have

[tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]

Replace g(x) with y

[tex]y =[/tex] [tex]\frac{x^{3} }{8}+16[/tex]

Interchange the variables

[tex]x= \frac{y^{3} }{8}+16[/tex]

Rewrite the equation as

[tex]\frac{y^{3} }{8}+16= x[/tex]

⇒[tex]\frac{y^{3} }{8}= x-16[/tex]

Multiply both sides of the equation by 8

[tex]8.\frac{y^{3} }{8}=8(x-16)[/tex]

⇒[tex]{y^{3} }=8(x-16)[/tex]

⇒[tex]{y^{3} }=8x-128[/tex]

⇒[tex]{y} }=\sqrt[3]{8x-128}[/tex]

⇒[tex]{y} }=2\sqrt[3]{x-6}[/tex]

Replace y with [tex]g^{-1}(x)[/tex]

⇒[tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

Hence, The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex] is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

Learn more about inverse of the function here

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Related Questions

What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.

How much would my grade go down?

PLEASE HELP ME

Answers

Answer:

you got 21.5/50 on final grade

and aslo follow me for more information

Dinner at olive garden cost $52.37. You Leave a 20% tip, What is the total cost

Answers

Answer:

62.84

Step-by-step explanation:

52.37 times 1.20(how you calculate tip) =62.84

Answer:

$62.84

Step-by-step explanation:

Tip is $10.47 add that with 52.37

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.

8 x 9/3= x 1/3
What number makes the equation true?

Answers

Answer:

72

Step-by-step explanation:

3×(8×9/3=X1/3) then 8×9=X, then X=72

Please help me and show working. I have a test very soon.

Answers

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

Please help:)
this worth 100 POINTS!!

Answers

Answer:

I think the second answer

Step-by-step explanation:

I'm late but it's the second answer!

Henry's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today.
onion 4
pepperoni 36
cheese 20
supreme 6
veggie 16
What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza?

Answers

24% (24/100)

Got answer by adding all of them together and dividing by 20

Answer:

10/41

Step-by-step explanation:

what is the unit rate of 2250 pencils in 18 boxes

Answers

Answer:

184

Step-by-step explanation:

i did it this on a test a while back

Answer: 125 Pencils per Box

Step-by-step explanation:

This is a fraction equal to

2250 Pencils ÷ 18 Boxes

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 18

2250 Pencils ÷ 18

18 Boxes ÷ 18

=  

125 Pencils

1 Box

=  

125 Pencils

Box

= 125 Pencils per Box

HELLP PLZ ZZZZZZ FOR MY HOMEWORK......

Answers

Answer:

4 books

Step-by-step explanation:

$3.80 divided by 95cents = 4

Answer: 4


Step by step explanation: 3.80 divided by 0.95=4

Brainliest? Lol

You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?

Answers

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

SOMEONE PLEASE HELP !!

Answers

Answer:

you would have to add them together

Step-by-step explanation:

you add 9pi cm^2 to 1/4

hop this helps kid

Answer:

The radius is 199.85 cm^3

Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?

Answers

The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².

The solutions to the equation is x = -9 + √89 or x = -9 - √89.

What is a quadratic equation?

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 6 = 2 - 18x

x² + 18x = 8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 18x + (18/2)² = 8 + (18/2)²

x² + 18x + 81 = 8 + 81

Part 2.

x² + 18x + 81 = 89

x² + 9x + 9x + 81 = 89

x(x + 9) + 9(x + 9) = 89

(x + 9)(x + 9) = 89

x = -9 + √89 or x = -9 - √89.

Read more on quadratic functions here: brainly.com/question/14201243

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Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).​

Answers

Answer:

17.7

Step-by-step explanation:

I'm assuming you meant R(17, -2) to W(-2, 3).  Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5.  Think of these as the legs of a right triangle.  The distance between these points is the length of the hypotenuse of this triangle:  d = √(5^2 + 17^2)

or √314, which, to the nearest tenth is 17.7.


Find the rate of change from the table.

Answers

Answer:   15

==================================================

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet

Answers

where’s the two right rectangular prisms?

Answer:

I cannot tell you the answer because there isn't adequate information.

But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)

EASY MATH PLEASE HELP! NO LINKS! NEED COMPLETE EXPLAINATION WITH ANSWER!!

Answers

Answer: a.) 18 x 8

Step-by-step explanation: if you break down the equation 6^3= 18 and 4^2=8 then take 18x8 simple as that

Someone please help I’ll give brainliest!!!!

Answers

Answer:

move the line up one

Step-by-step explanation:

What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?

Enter your answer by filling in the boxes.

Answers

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

please help me please ​

Answers

The answer is a thanks

Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?

Answers

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter

Answers

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg

A type of fish for your aquarium costs ​$8 each. You can spend at most ​$48. How many of these fish can you​ buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.

Answers

Answer:

x ≤ 6

Step-by-step explanation:

Cost of fish = $8

You can spend at most ​$48

How many of these fish can you​ buy?

Let

x = number of fishes you can buy

The inequality is

8x ≤ 48

Divide both sides by 8

x ≤ 48/8

x ≤ 6

1
What is the solution to the equation 4
1 7 1
8 8*3*?
X=-5
X=-4
X=4
x=5

Answers

Answer:

im sorry

Step-by-step explanation:

i need points or else i fail

simply 3x to the power of 2 of over 9x to the power of 5

Answers

Answer:

1/6561x³ or 6561x⁻³

Step-by-step explanation:

(3x)²/(9x)⁵

(3²)(x²)/(9⁵)(x⁵)

9x²/59049x⁵

9/59049x³

1/6561x³ or 6561x⁻³

If there are 4 outcomes, what is the
probability that I get tails then tails?

Answers

Answer:

50%

Step-by-step explanation:

because it is a two side coin

A polynomial has zeros x = 2, x = 0, X = 1, X = 2
What is the polynomial in factored form?
A) f(x) = x(x - 2)(x + 1)(x + 2)
B) f(x) = x(x + 2)(x-1)(x + 2)
C) f(x) = x2(x + 2)(x - 1)(x - 2)
D) f(x) = x(x + 2)(x - 1)(x - 2)

Answers

Answer:

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

Step-by-step explanation:

before taking the zeros each zeros were in the forrm

x+a=0 where 'a' is any number

then after taking the zeros, the zeros were in the form x=0 x=2 x=1

so we are gonna take then back to the form before taking the zeros

PLEASE HELP DUE TODAYY

Answers

Answer:

y <= 0

Step-by-step explanation:

it's shaded when the value of y is 0 or below 0 (the vertical axis)

Below the line is shaded so it would have to be one of the less than or equal to answer choices. There is nothing above 0 and x is infinity. Therefore the answer is Y is less than or equal to zero

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Answers

Answer:

-0.5

Step-by-step explanation:

(3-2)=1

(-4-1)=-5

1÷(-5)= -0.5

9.
Find the slope of the line.



A. -1/4

B. 4

C. 1/4

D. -4

Answers

Answer:

9. A. -1/4

Step-by-step explanation:

Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.

If this has helped you please mark as brainliest

Answer:

A. -1/4

Step-by-step explanation:

PLEASE ANSWER PLEASE! I

Answers

Answer:

4.45454545455  

=4.45

Step-by-step explanation:

so yeah your right just put a bar under 45 like this,,,,

4.45

a 420$ dressed is 20% off, how much is the sales price?

Answers

Answer:

$336

Step-by-step explanation:

420 x 0.2 = 84

420 - 84 = 336

Answer:

the answer is going to be $336

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