Quelpr
5 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2024 · Paper 2 · Question 1(a)

Two functions are given: f(x) = 4 / (x - 5) and g(x) = 1 / x.

Determine the domain of the composite function f(g(x)).

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 1(b)Solve the inequality -3|2x - 5| + 2 >= -4.[4 marks]
  2. 1(c)Solve the logarithmic equation log_5(x) - 4 log_x(5) = -3.[8 marks]
  3. 1(d)Prove that the function f(x) = 3x - 2 is bijective.[8 marks]

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