Question

Please help! I have very limited time to answer, but I am really stumped!

Answer 1

A

Explanation:

So we have the function:

`f(x)=y=\sqrt[3]{x-2}+8`

To find the inverse of the function, we can flip x and y and then solve for y. Therefore:

`x=\sqrt[3]{y-2}+8`

Solve for y to find our inverse.

Subtract 8 from both sides:

`x-8=\sqrt[3]{y-2}`

Cube each side. The right cancels:

`(x-8)^3=y-2`

Add 2 to both sides:

`y=(x-8)^3+2`

Therefore, our inverse is:

`f^(-1)(x)=(x-8)^3+2`

The answer is A