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3 marksFunction-Inverse Relationship

CSEC Mathematics · May/June 2016 · Paper 2 · Question 9(a)(ii)

The functions f(x) and g(x) are defined as f(x) = 2x – 7 and g(x) = x^2 + 1, respectively.

Show that (fg)^-1(5) = g^-1 f^-1(5).

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Other parts of this question

  1. 9(a)(i)Write an expression, in terms of x, for EACH of the following: f^-1(x), g^-1(x), fg(x).[4 marks]
  2. 9(b)(i)State the time of day at which the car arrived at Town C.[1 mark]
  3. 9(b)(ii)Calculate the TOTAL time, in minutes, for which the car stopped during the journey.[2 marks]
  4. 9(b)(iii)Determine the constant speed of the car during Stage 2 of the journey.[2 marks]
  5. 9(b)(iv)Calculate the average speed of the car for the time during which it was moving.[3 marks]

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