Let's find the inverse of the first one to see if it is the second one (sorry I misread this question initially)
y = (-2x-8)/3 replace x with y and y with x
x = ( -2y-8)/3 and solve for y
3x+8 = -2y
-4 - 3/2 x = y this IS the second function ...so they ARE inverses of each other.