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4 marksDeriving Inverse Functions

CSEC Mathematics · January 2016 · Paper 2 · Question 9(b)(ii)

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

Write an expression in x for f⁻¹(x).

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Other parts of this question

  1. 9(a)(i)State the other TWO inequalities which define the shaded region.[2 marks]
  2. 9(a)(ii)Identify the three pairs of (x, y) values for which P has a maximum or a minimum value.[2 marks]
  3. 9(a)(iii)Which pair of (x, y) values makes P a maximum? Justify your answer.[3 marks]
  4. 9(b)(i)Evaluate EACH of the following: g(-1/2), fg(-1/2)[4 marks]

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