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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 131

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

f:x↦3x+4f : x \mapsto 3x + 4f:x↦3x+4, x∈Rx \in \mathbb{R}x∈R

g:x↦2x+3\displaystyle g : x \mapsto \frac{2}{x + 3}g:x↦x+32​, x∈Rx \in \mathbb{R}x∈R, x≠−3x \neq -3x=−3

a.

Evaluate fg(1)fg(1)fg(1).

[2]
b.

Solve the equation gf(x)=6gf(x) = 6gf(x)=6.

[4]
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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