engineering mathematics MCQ #967

If f(x) = 2x + 1 and g(x) = x², find (f ∘ g)(x)

engineering mathematics MCQ #967

  1. Question 1

    Q1. If f(x) = 2x + 1 and g(x) = x², find (f ∘ g)(x)

    • A) 2x² + 1
    • B) x² + 2
    • C) (2x + 1)²
    • D) 2x + 1²

    Answer: 2x² + 1

    Explanation: The composition (f ∘ g)(x) = f(g(x)) = 2(g(x)) + 1 = 2x² + 1, using the definition of function composition.