# Math Help - Composite Functions

1. ## Composite Functions

2. $f(x)=x^3$
generally, if $g(x)$is invertible, then $g^{-1}(g(f(x)))=g^{-1}(\sqrt{2-x^3})=f(x)$

3. Thanks, one more I don't get is:

4. Originally Posted by Coolman
Thanks, one more I don't get is:

use the same method, let $x=g^{-1}(y),f(g(x))=f(g(g^{-1}(y)))=f(y)=(g^{-1}(y))^2$