The inverse of a function is usually denoted and read “ inverse.” (Note that the superscript in is not a exponent).
Suppose that two functions are inverses. If is a point on the graph of the original function, then the point must be a point on the graph of the inverse function. The graphs are mirror images of each other with respect to the line .
To find the inverse of a function algebraically, interchange the and and solve for .
Replace with and interchange and :
Solve for :