### Home > PC3 > Chapter 2 > Lesson 2.2.3 > Problem2-78

2-78.

Let $f(x)=2x+3$ and $h(x)=\frac{x-3}{2}$. Use function composition to determine if $f$ and $h$ are inverse functions. How can you check your answer graphically?

$f(h(x))=2\left(\frac{x-3}{2}\right)+3$

$=\ \left(x\ -3\right)+3$

$=\ x\$

Repeat the process for $h(f(x))$.