Mathematics · 2021
JEE Main · 25 February 2021, Shift 1 · Q61
Let f, g: N → N such that f( n +1)=f( n )+f(1) ∀ n ∈ N and g be any arbitrary function. Which of the following statements is NOT true?
Let $\displaystyle f, g: \mathbf{N} \rightarrow \mathbf{N}$ such that $\displaystyle f(\mathrm{n}+1)=f(\mathrm{n})+f(1) \forall \mathrm{n} \in \mathbf{N}$ and $\displaystyle g$ be any arbitrary function. Which of the following statements is NOT true ?
Official answer
(3)
If $\displaystyle g$ is onto, then $\displaystyle f \circ g$ is one-one
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.