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Question 410004
JEE Mathematics · Medium

Sets, Relations and Functions: Composition MCQ

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CompositionMediumQuestion 410004

Question

If f(x) = 2x and g(x) = x + 1, then (f ∘ g)(x) is:
  1. A
    2x + 2
    Correct
  2. B
    2x + 1
  3. C
    2(x+1) + 1
  4. D
    x + 2

Correct answer

2x + 2

Explanation

(f ∘ g)(x) = f(g(x)) = f(x+1) = 2(x+1) = 2x + 2. Note: (g ∘ f)(x) = g(f(x)) = g(2x) = 2x + 1 ≠ f ∘ g.

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