Skip to content

Course home

3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

EasyMediumHard
1234567891011121314151617181920212223242526272829303132
Question 22

The functions f f\,f and g g\,g are defined by

f:x↦ln⁡(3x−2)f : x \mapsto \ln(3x - 2)f:x↦ln(3x−2), x∈Rx \in \mathbb{R}x∈R, x>23\displaystyle x > \frac{2}{3}x>32​

g:x↦3x−2\displaystyle g : x \mapsto \frac{3}{x - 2}g:x↦x−23​, x∈Rx \in \mathbb{R}x∈R, x≠2x \neq 2x=2

a.

Find the exact value of fg(3)fg(3)fg(3).

[2]
b.

Find an expression for f−1(x)f^{-1}(x)f−1(x) and, using set notation, state its domain.

[3]
c.

Find the exact values of x x\,x for which ∣g(x)∣=4|g(x)| = 4∣g(x)∣=4.

[2]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank