Answer
$-2/3 x -4/3 =y$
Work Step by Step
In order to find the inverse of a function, we first switch f(x) with y to obtain:
y=-2-3/2x
Because it is an inverse function, that means that we switch x and y and then put the equation in terms of y:
$x=-2-3/2y \\\\ x+2=-3/2y \\\\ -2/3 x -4/3 =y$