The function f f\,f is defined such that
f(x)=4x−1 f(x) = 4x - 1 f(x)=4x−1Find f−1(x)f^{-1}(x)f−1(x). Hence work out f−1(11)f^{-1}(11)f−1(11)
The function g g\,g is defined such that g(x)=kx2g(x) = kx^2g(x)=kx2 where k k\,k is a constant. Given that fg(2)=12fg(2) = 12fg(2)=12, work out the value of kkk.
136 exam-style questions on Edexcel GCSE Maths Inverse and Composite Functions. Each one has a worked solution and a mark scheme showing where the marks go.