### Home > CALC > Chapter 2 > Lesson 2.2.1 > Problem2-54

2-54.

If $f ( x ) = \sqrt [ 3 ] { x }$, find:

1. $f^{−1}(x)$

1. $f(f^{−1}(x))$

1. $f^{−1}(f(x))$

$f(x)=\sqrt[3]{x}$
$y=\sqrt[3]{x}$

Now switch the $x$ and $y$, and solve for $y$.

Regarding parts (b) and (c), read the first sentence of the Math Note.

$f(\text{part a})=\sqrt[3]{\text{part a}}=$