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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 32

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

f(x)=2x2−3xf(x) = 2x^2 - 3xf(x)=2x2−3x and g(x)=4x+4g(x) = 4x + 4g(x)=4x+4

a.

Using set notation, find the range of fff.

[2]
b.

Determine whether f f\,f has an inverse. Fully justify your answer.

[2]
c.

Determine the set of values of x x\,x for which f(x)>g(x)f(x) > g(x)f(x)>g(x). Give your answer in set notation.

[3]
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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