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4 marksFunctions

CAPE Pure Mathematics Unit 1 · 2021 · Paper 2 · Question 2(a)(i)a)

The diagram below shows the graph of f(x) = x² + 2 for x ≥ 0.

Sketch the inverse of f.

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Other parts of this question

  1. 2(a)(i)b)Show that the inverse of f is a function.[1 mark]
  2. 2(a)(ii)Prove that f is one to one.[4 marks]
  3. 2(a)(iii)Determine whether f is onto.[3 marks]
  4. 2(b)Solve the equation |x² - 4| = 3x - 2.[6 marks]
  5. 2(c)Determine the equation whose roots are 1/α, 1/β, 1/γ.[8 marks]

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