The functions f f\,f and g g\,g are defined by
f:x→ex−2,x∈R f: x \rightarrow e^{x-2}, \quad x \in \mathbb{R} f:x→ex−2,x∈R g:x→3x+2lnx,x∈R,x>0 g: x \rightarrow 3x + 2\ln x, \quad x \in \mathbb{R}, x > 0 g:x→3x+2lnx,x∈R,x>0Write down the range of fff.
Find an expression for the composite function gfgfgf.
Write down the range of gfgfgf.
15 exam-style questions on CCEA A Level Maths 3.1.4 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.