The functions f f\,f and g g\,g are defined by
f:x→3x+4,x∈R f: x \rightarrow 3x + 4, \quad x \in \mathbb{R} f:x→3x+4,x∈R g:x→2x+3,x∈R,x≠−3 g: x \rightarrow \frac{2}{x+3}, \quad x \in \mathbb{R}, x \neq -3 g:x→x+32,x∈R,x=−3Evaluate fg(1)fg(1)fg(1)
Solve the equation gf(x)=6gf(x) = 6gf(x)=6
Practise Edexcel A Level Maths Functions and Graphs with exam-style questions for A Level Maths. 121 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.
