Q. 19 B5.0( 2 Votes )

Give an example o

Answer :

Let f : N N, be a function given by f(1) = f(2) = 1 and f(x) = x-1 for every x > 2.


Since, f(1) = 1 = f(2)


1 and 2 does not have unique image.


Thus, f is not one-one.


Let f(x) = y


y = x-1


x = y+1


for each y R there exists x N such that f(x) = y.


Thus, f is onto.


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