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Let N be the set of natural numbers and ...

Let N be the set of natural numbers and two functions f and g be defined as f, g : `N to N` such that : `f(n)={((n+1)/(2),"if n is odd"),((n)/(2),"if n is even"):}and g(n)=n-(-1)^(n)`. The fog is :

A

both one-one and onto

B

one-one but not onto

C

neither one-one nor onto

D

onto but not one-one

Text Solution

Verified by Experts

The correct Answer is:
D
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