## Precalculus (10th Edition)

$\frac{x+2}{3}=f^{-1}(x)$
To find the inverse: rewrite $f(x)$ as $y$, then exchange $x$ and $y$, and finally solve the equation for $y$. Hence here: $y=3x-2\\x=3y-2\\x+2=3y\\y=\frac{x+2}{3}=f^{-1}(x)$