2.3 Composite Functions
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The functions f f\,f and g g\,g are defined by

f:x→3x+4,x∈R f: x \rightarrow 3x + 4, \quad x \in \mathbb{R} f:x→3x+4,x∈R g:x→2x+3,x∈R,x≠−3 g: x \rightarrow \frac{2}{x+3}, \quad x \in \mathbb{R}, x \neq -3 g:x→x+32​,x∈R,x=−3
a.

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

[2]
b.

Solve the equation gf(x)=6gf(x) = 6gf(x)=6

[4]

2.3 Composite Functions Questions

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.

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2.3 Composite Functions Questions

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