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3.1 Algebra and functions (A-level only)

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Question 38

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

f:x→e2x+1,x∈R f: x \rightarrow e^{2x+1}, \quad x \in \mathbb{R} f:x→e2x+1,x∈R g:x→2x+3ln⁡x,x∈R,x>0 g: x \rightarrow 2x + 3\ln x, \quad x \in \mathbb{R}, x > 0 g:x→2x+3lnx,x∈R,x>0
a.

Write down the range of fff.

[1]
b.

Find an expression for the composite function gfgfgf.

[2]
c.

Write down the range of gfgfgf.

[1]
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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