#### Explain solution RD Sharma class 12 chapter Functions exercise 2.1 question 9 sub question (ii) maths

Let$g:\left \{ \left ( a,b \right ) \right \}:a$ is person and b is an ancestor of a

To prove:

The mapping is injective, surjective or not.

Hint:

As for each element x in the domain set, there is a unique related element y in the co-domain set.

So, f is a function.

Solution:

Since the ordered map (a,b) is not a map because "a" can have many ancestors. So the codomain set is not unique.

So, g is not a function.

Note:

If the function does not exist then we can’t show that the function is an injective or surjective.