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2 marksDeriving Inverse Functions

CSEC Mathematics · January 2007 · Paper 2 · Question 5(a)(iii)

This question involves functions and transformations. For part (a), f and g are functions defined as follows: f: x → 7x + 4, g: x → 1/(2x).

Calculate f⁻¹(11).

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Other parts of this question

  1. 5(a)(i)Calculate g(3).[1 mark]
  2. 5(a)(ii)Calculate f(-2).[2 marks]
  3. 5(b)(i)Write down the equation of the mirror line.[1 mark]
  4. 5(b)(ii)Determine the coordinates of the vertices of Δ A''B''C''.[3 marks]
  5. 5(b)(iii)State the transformation that maps Δ ABC onto Δ A''B''C''.[2 marks]

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