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📐 Mathematics  ·  Relations and Functions  ·  JEE

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

Answer: 2x² + 3.

  • A 2x² + 3
  • B (2x + 3)²
  • C 2x² + 3x
  • D 4x² + 9

Correct answer: A. 2x² + 3

Explanation: f(g(x)) = f(x²) = 2(x²) + 3 = 2x² + 3.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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