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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 21

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 value of x x\,x for which g(x)=4g(x) = 4g(x)=4.

[2]
Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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