Answer
$-6x+6=y$
Work Step by Step
In order to find the inverse of a function, we first switch f(x) with y to obtain:
y=-1/6x +1
Because it is an inverse function, that means that we switch x and y and then put the equation in terms of y:
$x=-1/6 y +1 \\\\ x-1=-1/6y \\\\ -6x+6=y$