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)
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.
Practise AQA GCSE Maths Inverse and Composite Functions with exam-style questions for Foundation and Higher tier. 36 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
