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Functions question

2019 · 10 Jan · Shift 2 · Q46
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  5. /2019 · 10 Jan · Shift 2 · Q46

Functions question

2019 · 10 Jan · Shift 2 · Q46

JEE MainMathematicsFunctionsMCQ+4 / −1
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+12;if  n  is  oddn2;if  n  is  even  \left\{ {\begin{matrix} {{{n + 1} \over 2};} & {if\,\,n\,\,is\,\,odd} \\ {{n \over 2};} & {if\,\,n\,\,is\,\,even} \\ \end{matrix} \,\,} \right.{2n+1​;2n​;​ifnisoddifniseven​; and g(n) = n −-−(−-− 1)n. Then fog is -
  1. A
    neither one-one nor onto
  2. B
    onto but not one-one
  3. C
    both one-one and onto
  4. D
    one-one but not onto
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