Find the inverse function of f(x) = (3x + 1)/(x - 2).
Inverse functions are fairly simple, once you get used to them. To start, we need to set f(x) to y, and interchange the x and y. So, we have x=3y+1/y-2. We now need to solve for y in terms of x:
y=1+2x/x-3
:)