Let N be the set of natural numbers and two functions f and g be defined as f, g : N → N such that,\(f\left( {\rm{n}} \right) = \left\{ {\begin{array}{*{20}{c}}{\frac{{{\rm{n}} + 1}}{2}}&{{\rm{\;if\;n\;is\;odd\;}}}\\{\frac{{\rm{n}}}{2}}&{{\rm{\;if\;n\;is\;even\;}}}\end{array}} \right.\)And g(n) = n - (-1)n. Then fog is:

Let N be the set of natural numbers and two functions f and g be defin

1.	Let N be the set of natural numbers and two functions f and g be defined as f, g : N → N such that,\(f\left( {\rm{n}} \right) = \left\{ {\begin{array}{*{20}{c}}{\frac{{{\rm{n}} + 1}}{2}}&{{\rm{\;if\;n\;is\;odd\;}}}\\{\frac{{\rm{n}}}{2}}&{{\rm{\;if\;n\;is\;even\;}}}\end{array}} \right.\)And g(n) = n - (-1)n. Then fog is:
A.	Onto but not one-one.
B.	One-one but not onto.
C.	Both one-one and onto.
D.	Neither one-one nor onto.
Answer» B. One-one but not onto.

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