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Let N be the set of numbers and two func...

Let N be the set of 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)`. Then, fog is

A

Onto but not one-one

B

Both one-one and onto

C

Neither one-one nor onto

D

One-one but not onto

Text Solution

Verified by Experts

The correct Answer is:
A
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