The function f f\,f is defined such that
f(x)=3x+5 f(x) = 3x + 5 f(x)=3x+5Find 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(3)=41fg(3) = 41fg(3)=41, work out the value of kkk.
Practise OCR GCSE Maths Inverse and Composite Functions with exam-style questions for Foundation and Higher tier. 36 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers 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.
