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.
281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.