8. The functions f and g are defined for all real values of \(x\) by
$$\begin{aligned}
& \mathrm { f } : x \rightarrow | x - 3 a |
& \mathrm { g } : x \rightarrow | 2 x + a |
\end{aligned}$$
where \(a\) is a positive constant.
- Evaluate fg(-2a).
- Sketch on the same diagram the graphs of \(y = \mathrm { f } ( x )\) and \(y = \mathrm { g } ( x )\), showing the coordinates of any points where each graph meets the coordinate axes.
- Solve the equation
$$\mathrm { f } ( x ) = \mathrm { g } ( x )$$