imo class 12 relations and functions

If f : R → R and g : R → R are defined by f(x) = x² and g(x) = x + 1, then (f∘g)(x) is:

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If f : R → R and g : R → R are defined by f(x) = x² and g(x) = x + 1, then (f∘g)(x) is:

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

Answer: B) (x + 1)²

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

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