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2.3 Composite Functions

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Question 3

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

f:x→5x+1,x∈R f: x \rightarrow 5x + 1, \quad x \in \mathbb{R} f:x→5x+1,x∈R g:x→3x+2,x∈R,x≠−2 g: x \rightarrow \frac{3}{x+2}, \quad x \in \mathbb{R}, x \neq -2 g:x→x+23​,x∈R,x=−2
a.

Evaluate fg(1)fg(1)fg(1)

[2]
b.

Solve the equation gf(x)=2gf(x) = 2gf(x)=2

[4]
Markscheme

2.3 Composite Functions Questions

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

15 exam-style questions on Edexcel A Level Maths 2.3 Composite Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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