### Home > PC3 > Chapter 1 > Lesson 1.3.3 > Problem1-135

1-135.

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

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

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

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