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4 marksComposition of Functions

CSEC Mathematics · May/June 2015 · Paper 2 · Question 9(b)(iii)

The functions f(x) and g(x) are defined as f(x) = 3x + 2 and g(x) = (x²-1)/3

Write an expression for gf(x), in the form (x + a) (x + b), where a and b ∈ R.

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Other parts of this question

  1. 9(a)(i)Calculate the percentage for a student who scores 60 marks[2 marks]
  2. 9(a)(ii)On the graph sheet on page 27, plot a graph to show the information in (i).[2 marks]
  3. 9(a)(iii)A candidate is awarded 95 marks on the examination. Use the graph drawn at (ii) to determine the candidate's percentage. Draw lines on your graph to show how…[1 mark]
  4. 9(a)(iv)A candidate is awarded a Grade A if her percentage is 85% or more. Use the graph drawn at (ii) to determine the minimum mark the candidate needs to be awarded…[2 marks]
  5. 9(b)(i)Evaluate g(5).[2 marks]
  6. 9(b)(ii)Write an expression in terms of x for f⁻¹(x).[2 marks]

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