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Provide solution for RD Sharma maths class12 Chapter Functions exercise 2.1  question 14

Answers (1)

Given:

            A=\left \{ 1,2,3 \right \}

To prove:

One-one function must be onto.

Solution:

 Here f:A\rightarrow A  and  A=\left \{ 1,2,3 \right \}

We know that, since f is one-one, so the three elements of \left \{ 1,2,3 \right \} must be taken to different element of the co-domain \left \{ 1,2,3 \right \}  under f.

Hence f must be onto.

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