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≠ln2x \neq \ln 2x=ln2
Find an expression for f−1(x)f^{-1}(x)f−1(x).
Using set notation, write down the range of f−1f^{-1}f−1.
281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.