The function f f\,f is defined such that
f(x)=4x−1 f(x) = 4x - 1 f(x)=4x−1Verify that f−1(x)=x+14\displaystyle f^{-1}(x) = \frac{x + 1}{4}f−1(x)=4x+1
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 k=1316\displaystyle k = \frac{13}{16}k=1613, verify that fg(2)=12fg(2) = 12fg(2)=12.
135 exam-style questions on AQA GCSE Maths Inverse and Composite Functions. Each one has a worked solution and a mark scheme showing where the marks go.