The function f f\,f is defined by
f(x)=x2−4x+4,x∈R,x≥2 f(x) = x^2 - 4x + 4, \quad x \in \mathbb{R}, x \geq 2 f(x)=x2−4x+4,x∈R,x≥2State the range of fff.
Sketch the graphs of f(x)f(x)f(x) and f−1(x)f^{-1}(x)f−1(x) on the same diagram.
Find an expression for f−1(x)f^{-1}(x)f−1(x) and state its domain.
216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.