The function f f\,f is defined by
f(x)=1x−1,x∈R,x≠1 f(x) = \frac{1}{x-1}, \quad x \in \mathbb{R}, x \neq 1 f(x)=x−11,x∈R,x=1 g(x)=x2−4,x∈R g(x) = x^2 - 4, \quad x \in \mathbb{R} g(x)=x2−4,x∈RWrite down the range of f(x)f(x)f(x)
Find an expression for f−1(x)f^{-1}(x)f−1(x) and state its domain
Solve fg(x)=14\displaystyle fg(x) = \frac{1}{4}fg(x)=41
Practise Edexcel A Level Maths Functions and Graphs with exam-style questions for A Level Maths. 100 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.