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3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

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Question 30

The functions f f\,f and g g\,g are defined for all real values of x x\,x by

f(x)=x3f(x) = x^3f(x)=x3 and g(x)=x2−1g(x) = x^2 - 1g(x)=x2−1

a.

Write down expressions for fg(x)fg(x)fg(x) and gf(x)gf(x)gf(x).

[2]
b.

Hence find the values of x x\,x for which gf(x)−fg(x)=18gf(x) - fg(x) = 18gf(x)−fg(x)=18.

[4]
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.

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