The following sequence of steps would help in conveniently finding the inverse of a function. Here we consider a function f(x) = ax + b, and aim at finding the inverse of this function through the following steps.
- For the given function f(x) = ax + b, replace f(x) = y, to obtain y = ax + b.
- Interchange the x with y and the y with x in the function y = ax + b to obtain x = ay + b.
- Here solve the expression x = ay + b for y. And we obtain y = (x – b/a
- Finlly replace y = f-1(x), and we have f-1(x) = (x – b)/a.