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1 markDeriving Inverse Functions

CSEC Mathematics · May/June 2007 · Paper 2 · Question 9(a)(iii)

Given that g(x) = (2x + 1) / 5 and f(x) = x + 4.

Find the inverse function g⁻¹(x).

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Other parts of this question

  1. 9(a)(i)Calculate the value of g (-2).[7 marks]
  2. 9(a)(ii)Write an expression for gf(x) in its simplest form.[1 mark]
  3. 9(b)(i)Write an expression in the form ax² + bx + c for the area of the rectangle.[8 marks]
  4. 9(b)(ii)Given that the area of the rectangle is 294 cm², determine the value of x.[1 mark]
  5. 9(b)(iii)Hence, state the dimensions of the rectangle, in centimetres.[1 mark]

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