CPM Homework Help : PC3 Problem 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?

Step 1:

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

Step 2:

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

Step 3:

$=\ x\$

Step 4:

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