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1.2.22 Inverse and composite functions (A-level only)

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Question 4

The function f f\,f is defined by

f(x)=x2−4x+4,x∈R,x≥2 f(x) = x^2 - 4x + 4, \quad x \in \mathbb{R}, x \geq 2 f(x)=x2−4x+4,x∈R,x≥2
a.

State the range of fff.

[2]
b.

Sketch the graphs of f(x)f(x)f(x) and f−1(x)f^{-1}(x)f−1(x) on the same diagram.

[3]
c.

Find an expression for f−1(x)f^{-1}(x)f−1(x) and state its domain.

[4]

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

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