Each of the following functions has domain x∈Rx \in \mathbb{R}x∈R.
Which function does not have an inverse function?
f(x)=5x−2f(x) = 5x - 2f(x)=5x−2
f(x)=x3+4f(x) = x^3 + 4f(x)=x3+4
f(x)=cos(x)f(x) = \cos(x)f(x)=cos(x)
f(x)=2xf(x) = 2^xf(x)=2x
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.