Question

Find the inverse of the function.
​f(x)
nothing

Answer 1

9514 1404 393

Answer:

`f^(-1)(x)=(x-4)^3+6`

Explanation:

To find the inverse function, solve for y:

x = f(y)

__

`x = f(y)\\\\x=\sqrt[3]{y-6}+4\\\\x-4=\sqrt[3]{y-6}\\\\(x-4)^3=y-6\\\\(x-4)^3+6=y\\\\\boxed{f^(-1)(x)=(x-4)^3+6}`