### Home > PC3 > Chapter 10 > Lesson 10.1.2 > Problem10-34

10-34.

Use function composition to show that $f$ and $g$ are inverse functions.

$f(x) =\frac { x - 2 } { x + 3 }$     $g(x) =\frac { - 3 x - 2 } { x - 1 }$

$f(g(x))= f(\dfrac{-3x-2}{x-1})=\dfrac{\dfrac{-3x-2}{x-1}-2}{\dfrac{-3x-2}{x-1}+3}$