imo class 12 relations and functions

If f(x) = 2x + 3 and g(x) = x², then (g∘f)(x) equals:

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If f(x) = 2x + 3 and g(x) = x², then (g∘f)(x) equals:

  • A. 2x² + 3
  • B. 4x² + 12x + 9
  • C. 4x² + 3
  • D. 2x² + 6x + 9

Answer: B) 4x² + 12x + 9

Explanation: (g∘f)(x) = g(f(x)) = g(2x + 3) = (2x + 3)² = 4x² + 12x + 9.

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