Determine the inverse function: Find the inverse function for .

If we solve for x as a function of y, we will have a candidate for the inverse. We can then re-express it in terms of x and try out the inverse property.

. Thus the inverse function, f ^-1, has the form

. If we let x be the independent variable, we have

as the inverse function.

Now we should test the inverse function by using the definition of the inverse function:

, and we see that the definition is satisfied.