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1 Pure Mathematics

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Question 367

The function f f\,f is defined by

f(x)=x3−1f(x) = x^3 - 1f(x)=x3−1, x∈Rx \in \mathbb{R}x∈R, −1≤x≤2-1 \leq x \leq 2−1≤x≤2.

a.

Using set notation, state the range of fff.

[2]
b.

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

[3]
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1 Pure Mathematics Questions

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