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2 marksDeriving Inverse Functions

CSEC Mathematics · May/June 2017 · Paper 2 · Question 4(a)(iii)

The function f is defined as f(x) = (1/3)x - 2.

Determine the inverse function f⁻¹(x).

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Other parts of this question

  1. 4(a)(i)Find the value of f(3) + f(-3).[2 marks]
  2. 4(a)(ii)Calculate the value of x for which f(x) = 5.[2 marks]
  3. 4(b)(i)Calculate the gradient of the lines l₁ and l₂.[2 marks]
  4. 4(b)(ii)Determine the equation of the line l₁.[2 marks]
  5. 4(b)(iii)What is the relationship between l₁ and l₂? Give a reason for your answer.[2 marks]

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