Answer
$-1/4 x +2 =y$
Work Step by Step
In order to find the inverse of a function, we first switch f(x) with y to obtain:
y=-4x+8
Because it is an inverse function, that means that we switch x and y and then put the equation in terms of y:
$x=-4y+8 \\\\ x-8=-4y \\\\ -1/4 x +2 =y$