CPM Homework Help : PC3 Problem 1-135

Use composition to verify that $f(x)=5x-1$ and $g\left(x\right)=\frac{x+1}{5}$ are inverse functions.

Hint:

Check both $f(g(x))$ and $g(f(x))$ .

Step 1:

$f(g(x))=f\Big(\frac{x+1}{5}\Big)$

$=5\Big(\frac{x+1}{5}\Big)-1$