Q. 11

Give examples of two functions f: N N and g: N N such that gof is onto, but f is not onto.

Answer :

Define f:N N by, f(x) = x + 1 And, g: N N by,

We first show that f is not onto.

For this, consider element 1 in co – domain N. It is clear that this element is not an image of any of the elements in domain N.

Therefore, f is not onto.

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