Given that f(x)=3x+1f(x) = 3x + 1f(x)=3x+1 and g(x)=x2g(x) = x^2g(x)=x2
a.
Verify that fg(x)=3x2+1fg(x) = 3x^2 + 1fg(x)=3x2+1
[2]
b.
Work out an expression for gf(x)gf(x)gf(x)
[2]
c.
Solve fg(x)=gf(x)fg(x) = gf(x)fg(x)=gf(x)
[3]
Markscheme
Inverse and Composite Functions Questions
136 exam-style questions on CCEA GCSE Maths Inverse and Composite Functions. Each one has a worked solution and a mark scheme showing where the marks go.