Given that f(x)=3x+1f(x) = 3x + 1f(x)=3x+1 and g(x)=x2g(x) = x^2g(x)=x2
Find fg(x)fg(x)fg(x)
Work out an expression for gf(x)gf(x)gf(x)
Solve fg(x)=gf(x)fg(x) = gf(x)fg(x)=gf(x)
Hence solve fg(x+1)=gf(x+1)fg(x + 1) = gf(x + 1)fg(x+1)=gf(x+1)
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.