The functions f f\,f and g g\,g are defined for all real values of x x\,x by
f(x)=2x2−3xf(x) = 2x^2 - 3xf(x)=2x2−3x and g(x)=4x+4g(x) = 4x + 4g(x)=4x+4
Using set notation, find the range of fff.
Determine whether f f\,f has an inverse. Fully justify your answer.
Determine the set of values of x x\,x for which f(x)>g(x)f(x) > g(x)f(x)>g(x). Give your answer in set notation.
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.