Question

f(x)= ^3√x-9

find f^-1(x)

Answer 1

Is that the inverse of a cube root function?

Answer 2

idk thats how it was written. simplify answer

Answer 3

I'm trying to check how you have typed it up. It's not totally clear to me, but assuming that is....

To find the inverse you switch the x and y terms and simplify.

Answer 4

\[
f(x)=\sqrt[3]{x-9}
\]To find \(f^{-1}(x)\) we replace \(f(x)\) with \(x\) and \(x\) with \(f^{-1}(x)\):\[
x=\sqrt[3]{f^{-1}(x)-9}
\]Then you must solve for \(f^{-1}(x)\).

Answer 5

Cube both sides:\[
x^3=f^{-1}(x)-9
\]Add 9 to both sides:\[
f^{-1}(x) = x^3+9
\]

Answer 6

@wio

Answer 7

@wio

Answer 8

What is it?