10.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c6bde466-61ec-437d-a3b4-84511a98d788-32_492_636_260_660}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of part of the graph with equation \(y = \mathrm { g } ( x )\), where
$$\mathrm { g } ( x ) = \frac { 3 x - 4 } { x - 3 } , \quad x \in \mathbb { R } , \quad x < 3$$
The graph cuts the \(x\)-axis at the point \(A\) and the \(y\)-axis at the point \(B\), as shown in Figure 2 .
- State the range of g .
- State the coordinates of
- point \(A\)
- point \(B\)
- Find \(\operatorname { gg } ( x )\) in its simplest form.
- Sketch the graph with equation \(y = | \mathrm { g } ( x ) |\)
On your sketch, show the coordinates of each point at which the graph meets or cuts the axes and state the equation of each asymptote.
- Find the exact solution of the equation \(| \mathrm { g } ( x ) | = 8\)