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
471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.