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CAPE Pure Mathematics Unit 1 · May/June 2009 · Paper 1 · Question Q14

Two functions, f and g, are defined as f: x \to 2x + 1, 0 < x < 10, and g: x \to x^2, 0 < x < 3. The composite function gf can only be formed if the domain of f is restricted to

  1. (A)0 < x < 1
  2. (B)0 < x < 3
  3. (C)0 < x < 10
  4. (D)0 < x < 21

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