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Functions question

2021 · 25 Feb · Shift 1 · Q30
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  2. /JEE Main
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  4. /Functions
  5. /2021 · 25 Feb · Shift 1 · Q30

Functions question

2021 · 25 Feb · Shift 1 · Q30

JEE MainMathematicsFunctionsMCQ+4 / −1
Let f, g : N →\to→ N such that f(n + 1) = f(n) + f(1) ∀\forall∀ n ∈\in∈ N and g be any arbitrary function. Which of the following statements is NOT true?
  1. A
    If g is onto, then fog is one-one
  2. B
    f is one-one
  3. C
    If f is onto, then f(n) = n ∀\forall∀ n ∈\in∈ N
  4. D
    If fog is one-one, then g is one-one
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