Let N be the set of natural numbers and two functions f and g be defined as f, g: N → N such that f(n) = begincases (n+1)/2 & if n is odd \ n/2 & if n is even endcases and g(n) = n - (-1)^n. Then, fog is

Let N be the set of natural numbers and two functions f and… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 Jan · Shift II

Let

N

be the set of natural numbers and two functions

f

and

g

be defined as

f, g: N \longrightarrow N

such that

f(n) = \begin{cases} \dfrac{n+1}{2} & \text{if } n \text{ is odd} \\ \dfrac{n}{2} & \text{if } n \text{ is even} \end{cases}

and

g(n) = n - (-1)^n

. Then,

fog

Show answer

Correct option: B

[JEE Main 2019 · 10 Jan · Shift II]

Practise Sets Relations and Functions the way it is asked

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