Quelpr
4 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 2(a)(ii)

The relations f : A → B and g : B → C are functions which are both one-to-one and onto.

Show that (g° f) is onto.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 2(a)(i)Show that (g° f) is one-to-one.[4 marks]
  2. 2(b)(i)Solve 3 - 4/(9)ˣ - 4/(81)ˣ = 0.[7 marks]
  3. 2(b)(ii)Solve |5x - 6| = x + 5.[5 marks]
  4. 2(c)(i)Determine the number of bacteria present at t = 0.[1 mark]
  5. 2(c)(ii)Determine the time required to triple the number of bacteria.[4 marks]

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