The function f f\,f is defined by f(x)=e2xf(x) = e^{2x}f(x)=e2x for x∈Rx \in \mathbb{R}x∈R.
Find an expression for f−1(x)f^{-1}(x)f−1(x).
Tick one box.
f−1(x)=12lnxf^{-1}(x) = \frac{1}{2}\ln xf−1(x)=21lnx
f−1(x)=ln(x2)f^{-1}(x) = \ln\left(\frac{x}{2}\right)f−1(x)=ln(2x)
f−1(x)=2lnxf^{-1}(x) = 2\ln xf−1(x)=2lnx
f−1(x)=lnx−2f^{-1}(x) = \ln x - 2f−1(x)=lnx−2
181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.