Question

Need help with this inverse problem

Answer 1

is this a test @jj_2251

Answer 2

I know that when finding the inverse of a function I am supposed to change f(x) to y and then solve for x

Answer 3

nope its old homework I am reviewing

Answer 4

It says the correct answer is (x-10)**3 but I am not sure how to get the x on the other side to solve

Answer 5

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 6

To get rid of cube root x you just take the power of 3 on both sides.

Answer 7

Lets do this step by step actually

Answer 8

got it thanks. so now i have y=10+3sqrt(x). When I take the power of 3 on both sides, does it cancel the square root?