Answer
$-3/2x +3/2=y$
Work Step by Step
In order to find the inverse of a function, we first switch f(x) with y to obtain:
y=-2/3x+1
Because it is an inverse function, that means that we switch x and y and then put the equation in terms of y:
$x=-2/3y+1 \\\\ x-1=-2/3y \\\\ -3/2x +3/2=y$