Quelpr
4 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2023 · Paper 2 · Question 2(d)

Given that g(x) = (2x + 3)/(x + 3), prove that g^{-1}(2) does not exist.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 2(a)Let f(x) = 7x + 2. Prove that f is bijective.[5 marks]
  2. 2(b)The roots of the cubic equation 3x^3 - x^2 - 2x + 1 = 0 are \alpha, \beta and \gamma. Determine the equation whose roots are 1/\alpha, 1/\beta and 1/\gamma.[8 marks]
  3. 2(c)(i)On the axes provided, sketch and label the graph of g(x) = |x^2 + 6x + 8|.[3 marks]
  4. 2(c)(ii)On the same axes, sketch and label the inverse of f for x \ge -3.[5 marks]

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