### Home > PC3 > Chapter 2 > Lesson 2.3.2 > Problem2-146

2-146.

Use composition to verify $f(x)=\frac{x^3}{7}+2$ and $g(x) =\sqrt [ 3 ] { 7 x - 14 }$ are inverse functions.

$f(g(x))=\frac{\sqrt[3]{7x-14}^3}{7}+2$

Does this composition equal $x$?
Be sure to verify the inverse functions using $g(f(x))$ as well.