Question

Find the inverse of the one-to-one function.

Answer 1

\[f(x)=\sqrt[3]{x+8}\]

Answer 2

a. f-1(x) = x - 8
b. 1/x^3-8
C) f-1(x) = x^3 + 64
D) f-1(x) = x^3 - 8

Answer 3

to find the inverse of a function what you do is switch x and f(x) and solve for f(x)

Answer 4

so \[x = \sqrt[3]{f(x) + 8}\]

Answer 5

can you solve for f(x)?

Answer 6

no im sorry i dont understand.

Answer 7

No, you replace the values of X with Y. Then solve for Y.

Answer 8

f(x) is the same as y just written differently

Answer 9

So it would then look like: \[\sqrt[3]{y+8} = x\]

now solve for Y

Answer 10

how do i solve for y. is 8^3

Answer 11

So cube both sides and subtract eight from both sides. You should then have y = x^3 - 8

Answer 12

If you are finding a number multiplied three times to get (y+8) raising its power to three would be the opposite action. That's why it cancels the radical sign.

Answer 13

oh

Answer 14

so is that it or more?

Answer 15

That's it! Unless you have any questions or misunderstandings I can tro to help you.

Answer 16

No i got it now thank you for your help!

Answer 17

You're welcome! :)