The functions f f\,f and g g\,g are defined by
f:x→e3x,x∈R f: x \rightarrow e^{3x}, \quad x \in \mathbb{R} f:x→e3x,x∈R g:x→4x+lnx,x∈R,x>0 g: x \rightarrow 4x + \ln x, \quad x \in \mathbb{R}, x > 0 g:x→4x+lnx,x∈R,x>0Write down the range of fff.
Find an expression for the composite function gfgfgf.
Write down the range of gfgfgf.
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.
