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3 marksAddition Rule for Probability

CSEC Additional Mathematics · May/June 2007 · Paper 2 · Question 10(i)

The functions f and g are defined, for x ∈ R, by f: x ↦ 3x - 2, and g: x ↦ (7x - a)/(x + 1), where x ≠ -1 and a is a positive constant.

Obtain expressions for f⁻¹ and g⁻¹.

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Other parts of this question

  1. 10(ii)Determine the value of a for which f⁻¹g(4) = 2.[3 marks]
  2. 10(iii)If a = 9, show that there is only one value of x for which g(x) = g⁻¹(x).[3 marks]

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