Quelpr
4 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2017 · Paper 2 · Question 2(b)(ii)

The following diagram shows the graph of the function f(x) = (3x-4)/(x+4).

sketch the graph of f⁻¹, the inverse of f showing the asymptotes for f⁻¹.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 2(a)(i)Given that a² + b² = 14ab, prove that ln((a+b)/4) = (1/2)(ln a + ln b).[5 marks]
  2. 2(a)(ii)Solve the equation 2ˣ + 3(2⁻ˣ) = 4. [Your response may be expressed in terms of logarithms.][6 marks]
  3. 2(b)(i)On the diagram, insert the asymptotes for the function f.[2 marks]
  4. 2(c)Given that α, β and γ are the roots of the equation x³ + 3x + 2 = 0, form an equation whose roots are βγ, αγ and αβ.[8 marks]

More practice: the rest of this paper · more Functions questions · all CAPE Pure Mathematics Unit 1 past papers