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1 markDeriving Inverse Functions

CSEC Mathematics · January 2009 · Paper 2 · Question 10(a)(ii)

Two functions are defined as follows: f: x -> x - 3 and g: x -> x² - 1.

Find f⁻¹(x).

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Other parts of this question

  1. 10(a)(i)Calculate f(6).[1 mark]
  2. 10(a)(iii)Show that fg(2) = fg(-2) = 0.[3 marks]
  3. 10(b)(i)For how many minutes was the train at rest at B?[1 mark]
  4. 10(b)(ii)Determine the average speed of the train, in km/h, on its journey from A to B.[3 marks]
  5. 10(b)(iii)Calculate the time, in minutes, taken for the train to travel from B to C.[3 marks]
  6. 10(b)(iv)On your answer sheet, draw the line segment which describes the journey of the train from B to C.[3 marks]

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