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2.3 Composite Functions

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Question 5

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

f:x→ex−2,x∈R f: x \rightarrow e^{x-2}, \quad x \in \mathbb{R} f:x→ex−2,x∈R g:x→3x+2ln⁡x,x∈R,x>0 g: x \rightarrow 3x + 2\ln x, \quad x \in \mathbb{R}, x > 0 g:x→3x+2lnx,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]

2.3 Composite Functions Questions

  1. A Level
  2. /Maths
  3. /2.3 Composite Functions

Practise Edexcel A Level Maths 2.3 Composite Functions with exam-style questions for A Level Maths. 18 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank