Answer
$ f^{-1}(x)=\frac{x+1}{5}$
Work Step by Step
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}$
