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Functions question

2022 · 27 Jul · Shift 1 · Q25

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PYQ Library
JEE Main
Mathematics
Functions
2022 · 27 Jul · Shift 1 · Q25

Functions question

2022 · 27 Jul · Shift 1 · Q25

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

f, g: \mathbb{N}-\{1\} \rightarrow \mathbb{N}

be functions defined by

f(a)=\alpha

, where

\alpha

is the maximum of the powers of those primes

p

such that

p^{\alpha}

divides

a

, and

g(a)=a+1

, for all

a \in \mathbb{N}-\{1\}

. Then, the function

f+g

is

A
one-one but not onto
B
onto but not one-one
C
both one-one and onto
D
neither one-one nor onto

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