Let f, g: \mathbb{N}-\{1\} \to \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 [27-Jul-2022-Shift-1]

Correct Answer is : neither one-one nor onto

JEE Mains 27-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 2 of 90

Marks: +1, -0

Let f,g:ℕ−{1}→ℕ be functions defined by f(a)=α, where α is the maximum of the powers of those primes p such that pα divides a, and g(a)=a+1, for all a∈ℕ−{1}. Then, the function f+g is

[27-Jul-2022-Shift-1]

one-one but not onto
onto but not one-one
both one-one and onto
neither one-one nor onto

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