Answer
$ f^{-1}(x)=\frac{x+1}{12}$
Work Step by Step
We are given the function, $f(x)=12x-1$. First, we must replace $f(x)$ with y.
$y=12x-1$
Next, interchange x and y.
$x=12y-1$
Next, solve for y by adding 1 to both sides.
$12y=x+1$
Next divide both sides by 12.
$y=\frac{x+1}{12}$
Finally, replace y with $f^{-1}(x)$.
$ f^{-1}(x)=\frac{x+1}{12}$
