The functions fff and ggg are defined by f(x)=3+4lnx,x>0f(x) = 3 + 4\ln x, \quad x > 0f(x)=3+4lnx,x>0 g(x)=8x−42x+1,x>12g(x) = \frac{8x - 4}{2x + 1}, \quad x > \frac{1}{2}g(x)=2x+18x−4,x>21
Find f−1(15)f^{-1}(15)f−1(15).
Use differentiation to prove that ggg is an increasing function.
Find g−1(x)g^{-1}(x)g−1(x).
Find the range of the composite function fgfgfg.
Practise Edexcel A Level Maths 2.3 Composite Functions with exam-style questions for A Level Maths. 18 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.