Answer
$ f^{-1}(x)=\frac{x-11}{6}$
Work Step by Step
We are given the function, $f(x)=6x+11$. First, we must replace $f(x)$ with y.
$y=6x+11$
Next, interchange x and y.
$x=6y+11$
Next, solve for y by subtracting 11 from both sides.
$6y=x-11$
Next divide both sides by 6.
$y=\frac{x-11}{6}$
Finally, replace y with $f^{-1}(x)$.
$ f^{-1}(x)=\frac{x-11}{6}$
