3. The function \(g\) is defined by
$$\mathrm { g } : x \mapsto | 8 - 2 x | , \quad x \in \mathbb { R } , \quad x \geqslant 0$$
- Sketch the graph with equation \(y = \mathrm { g } ( x )\), showing the coordinates of the points where the graph cuts or meets the axes.
- Solve the equation
$$| 8 - 2 x | = x + 5$$
The function f is defined by
$$\mathrm { f } : x \mapsto x ^ { 2 } - 3 x + 1 , \quad x \in \mathbb { R } , \quad 0 \leqslant x \leqslant 4$$
- Find fg(5).
- Find the range of f. You must make your method clear.