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3 marksComposition of Functions

CSEC Mathematics · May/June 2008 · Paper 2 · Question 7(b)(iv)

Two functions, f and g, are defined as follows: f: x → 5x - 2 and g: x → 4 / (x + 1).

Calculate the value of x if fg(x) = 1.

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Other parts of this question

  1. 7(a)A line segment connects the points A (1,8) and B (j, k). If the mid-point of AB is (4, 5), calculate the values of j and k.[4 marks]
  2. 7(b)(i)Calculate f(0).[1 mark]
  3. 7(b)(ii)Calculate g(2).[1 mark]
  4. 7(b)(iii)Calculate f^(-1)(x).[2 marks]

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