The function ddd is defined by d(v)=2−13e4v+1d(v) = 2 - \frac{1}{3}e^{4v+1}d(v)=2−31e4v+1 for v∈Rv \in \mathbb{R}v∈R, where ddd is the displacement of a mechanical actuator and vvv is the input voltage.
Find d−1(x)d^{-1}(x)d−1(x) and state its domain.
Practise Edexcel A Level Maths 2.4 Inverse Functions with exam-style questions for A Level Maths. 41 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.