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2 marksDeriving Inverse Functions

CSEC Mathematics · May/June 2010 · Paper 2 · Question 5(a)(ii)

The functions f and g are defined as f(x) = 2x - 5 and g(x) = x^2 + 3.

Find f^-1(x).

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Other parts of this question

  1. 5(a)(i)a)Calculate the value of f(4)[1 mark]
  2. 5(a)(i)b)Calculate the value of gf(4).[2 marks]
  3. 5(b)(i)Use the graph above to determine the scale used on the x-axis[1 mark]
  4. 5(b)(ii)Use the graph above to determine the value of y for which x = -1.5[2 marks]
  5. 5(b)(iii)Use the graph above to determine the values of x for which y = 0[2 marks]
  6. 5(b)(iv)Use the graph above to determine the range of values of y, giving your answer in the form a ≤ y ≤ b, where a and b are real numbers.[2 marks]

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