## Intermediate Algebra (6th Edition)

$f^{-1}(x)=\frac{x+1}{5}$
We are given the function, $f(x)=5x-1$. First, we must replace $f(x)$ with y. $y=5x-1$ Next, interchange x and y. $x=5y-1$ Next, solve for y by adding 1 to both sides. $5y=x+1$ Divide both sides by 5. $y=\frac{x+1}{5}$ Finally, replace y with $f^{-1}(x)$. $f^{-1}(x)=\frac{x+1}{5}$