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1.2.22 Inverse and composite functions (A-level only)

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Question 5
62%

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

f:x→2x−5,x∈R f: x \rightarrow 2x - 5, \quad x \in \mathbb{R} f:x→2x−5,x∈R g:x→4x−2,x∈R,x≠2 g: x \rightarrow \frac{4}{x-2}, \quad x \in \mathbb{R}, x \neq 2 g:x→x−24​,x∈R,x=2
a.

Evaluate fg(4)fg(4)fg(4)

[2]
b.

Solve the equation gf(x)=1gf(x) = 1gf(x)=1

[4]

1.2.22 Inverse and composite functions (A-level only) Questions

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