Let f(x) = (3x - 7)/(x + 1). Find the inverse f^{-1}(x).
We have the function \(y = {{3x - 7} \over {x+1}}\).
To find its inverse, just swap x and y. This gives us \(x = {3y - 7 \over y + 1}\)
Now, just solve for y in terms of x.