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1 Pure Mathematics

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Question 63

The function f f\,f is defined by

f(x)=ex2−ex\displaystyle f(x) = \frac{e^x}{2 - e^x}f(x)=2−exex​, x∈Rx \in \mathbb{R}x∈R, x≠ln⁡2x \neq \ln 2x=ln2

a.

Find an expression for f−1(x)f^{-1}(x)f−1(x).

[3]
b.

Using set notation, write down the range of f−1f^{-1}f−1.

[2]
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1 Pure Mathematics Questions

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