Chapter 10 - Radical Functions and Equations - 10.4 - Inverse of a Function - Monitoring Progress - Page 570: 6

The inverse of $f$ is $g(x)=\frac{x}{6}$.

$f(x)=6x$ Set $y=f(x)$. Then $y=6x$ Switching $x$ and $y$ in the equation, we have $x=6y$ Divide by $6$ on both sides to get $\frac{x}{6}=y$ The inverse of $f$ is $g(x)=\frac{x}{6}$. The graphs of the function and its inverse are shown in the attachment.