The inverse of a function  has all the same points as the original function , except that the  values and  values have been reversed.

Explanation :

The image of the graph of the function in the line  is the graph of its inverse.

The range of the function is the domain of its inverse,and the domain of the function is the \ \ range of inverse.

Example :

Let us consider the following set of points.

For instance, supposing your function is made up of these points : .

Using the inverse rule  then .

Then the inverse is given by this set of point : .

The function with a set of points .

Now the inverse of the function is : .

Observe both the graphs  which are mirror images with respective to the line .

The relationship between the graph of a function and graph of is inverse function is described.