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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 194

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

f(x)=x2−4x−5f(x) = x^2 - 4x - 5f(x)=x2−4x−5 for x>2x > 2x>2

g(x)=2x+1g(x) = 2x + 1g(x)=2x+1 for x∈Rx \in \mathbb{R}x∈R

a.

Find an expression for gf(x)gf(x)gf(x) and, using set notation, state its domain.

[3]
b.

Using set notation, state the range of gfgfgf.

[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.

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