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

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Letg:\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.


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.


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.


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

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