The function f(x)=ex1−ex\displaystyle f(x) = \frac{e^x}{1 - e^x}f(x)=1−exex is defined on the domain x∈R,x≠0x \in \mathbb{R}, x \neq 0x∈R,x=0
Find f−1(x)f^{-1}(x)f−1(x)
Write down the range of f−1(x)f^{-1}(x)f−1(x)
471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.