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1.5.8 Composite and inverse functions (A-level only)

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Question 21

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

f:x→4x−3,x∈R f: x \rightarrow 4x - 3, \quad x \in \mathbb{R} f:x→4x−3,x∈R g:x→6x+5,x∈R,x≠−5 g: x \rightarrow \frac{6}{x+5}, \quad x \in \mathbb{R}, x \neq -5 g:x→x+56​,x∈R,x=−5
a.

Evaluate fg(−2)fg(-2)fg(−2)

[2]
b.

Solve the equation gf(x)=3gf(x) = 3gf(x)=3

[4]

1.5.8 Composite and inverse functions (A-level only) Questions

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