Function s is the set of points: {(4,3),(5,3),(8,6),(9,6),(12,9),(13 ,9)} (a) What is the inverse of function s?(b) the inverse of function s a function?
Explain your answer.

Given:

The function in the form of set of points is

To find:

(a) The inverse of function s.

(b) whether the inverse of function s is a function?

Solution:

(a)

If a function is , then its inverse function is

We have,

So, inverse of this function is

Therefore, the inverse of function s is .

(b)

A set of point is a function if there exist unique output for each input.

In inverse of s, we have two output values y=4 and y=5 for single input x=3.

Therefore, the inverse of function s is not a function.