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CSEC Additional Mathematics · 2014 · Paper 2 · Question 1(a)(ii)a)

The function g is defined by g: x→ (1/2)x-3, x ∈ R.

Find fg(x), and clearly state its domain.

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Other parts of this question

  1. 1(a)(i)Show that f is NOT one-to-one.[1 mark]
  2. 1(a)(ii)b)Determine the inverse, g⁻¹, of g and sketch on the same pair of axes, the graphs of g and g⁻¹.[3 marks]
  3. 1(b)Determine the value of the constant a.[3 marks]
  4. 1(c)find the values of x and y (the dimensions of the kitchen).[5 marks]

More practice: the rest of this paper · more Addition Rule for Probability questions · all CSEC Additional Mathematics past papers