Answer
$ x/2 -4=y$
Work Step by Step
In order to find the inverse of a function, we first switch f(x) with y to obtain:
y=2x+8
Because it is an inverse function, that means that we switch x and y and then put the equation in terms of y:
$x=2y+8 \\\\ x-8=2y \\\\ x/2 -4=y$