The function f f\,f is defined by
f(x)=2x−3x−1,x∈R,x≠1 f(x) = \frac{2x - 3}{x - 1}, \quad x \in \mathbb{R}, x \neq 1 f(x)=x−12x−3,x∈R,x=1Find f−1(3)f^{-1}(3)f−1(3)
Show that ff(x)=ax+bx−2\displaystyle ff(x) = \frac{ax + b}{x - 2}ff(x)=x−2ax+b where a a\,a and b b\,b are integers to be found.
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.