The function f f\,f is defined by
f(x)=1x+5,x∈R,x≠−5 f(x) = \frac{1}{x+5}, \quad x \in \mathbb{R}, x \neq -5 f(x)=x+51,x∈R,x=−5 g(x)=3x2−1,x∈R g(x) = 3x^2 - 1, \quad x \in \mathbb{R} g(x)=3x2−1,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)=116\displaystyle fg(x) = \frac{1}{16}fg(x)=161
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.