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3.1 Algebra and functions (A-level only)

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Question 1
36%

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]

3.1 Algebra and functions (A-level only) Questions

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