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3 marksDeriving Inverse Functions

CSEC Mathematics · May/June 2005 · Paper 2 · Question 7(b)(ii)

Given functions h(x) = 3x + 4 and g(x) = \frac{5}{x+2}.

Obtain an expression for g^{-1}(x).

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Other parts of this question

  1. 7(a)(i)Calculate the exact value of 16^{1/2}.[3 marks]
  2. 7(a)(ii)Calculate the exact value of 25^{3/2}.[3 marks]
  3. 7(a)(iii)Calculate the exact value of 2^{-3}.[3 marks]
  4. 7(b)(i)Evaluate h(0), g(-3) and hg(-3).[4 marks]

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