Higher November 2017 Paper 3 Q30

30 \(\mathrm{f}(x) = \dfrac{x}{3} + 4 \qquad\) for all values of \(x\).

\(\mathrm{g}(x) = 6x^2 + 3 \qquad\) for all values of \(x\).

Work out \(\;\mathrm{fg}(x)\).

Give your answer in the form \(\;ax^2 + b\;\) where \(a\) and \(b\) are integers. [2 marks]