The functions fff and ggg are defined by
f(x)=16−x2x∈R,x≥0f(x) = 16 - x^2 \quad x \in \mathbb{R}, x \ge 0f(x)=16−x2x∈R,x≥0 g(x)=43x+2x∈R,x≥0g(x) = \frac{4}{3x + 2} \quad x \in \mathbb{R}, x \ge 0g(x)=3x+24x∈R,x≥0
Write down the range of fff.
Find the value of fg(2)fg(2)fg(2).
Find g−1(x)g^{-1}(x)g−1(x) and state its domain.
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.