The function f f\,f is defined by
f(x)=4x+3,x∈R,x≠−3 f(x) = \frac{4}{x+3}, \quad x \in \mathbb{R}, x \neq -3 f(x)=x+34,x∈R,x=−3 g(x)=x2−2,x∈R g(x) = x^2 - 2, \quad x \in \mathbb{R} g(x)=x2−2,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)=1fg(x) = 1fg(x)=1
Practise Edexcel A Level Maths 2.4 Inverse Functions with exam-style questions for A Level Maths. 41 questions, 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.