6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0f6fd881-4d4b-4f80-96cc-6da41cc33c60-10_775_1392_233_278}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
Figure 3 shows a sketch of the graph of \(y = \mathrm { f } ( x )\) where
$$\mathrm { f } ( x ) = \left\{ \begin{array} { r r }
5 - 2 x , & x \leqslant 4
\mathrm { e } ^ { 2 x - 8 } - 4 , & x > 4
\end{array} \right.$$
- State the range of \(\mathrm { f } ( x )\).
- Determine the exact value of ff(0).
- Solve \(\mathrm { f } ( x ) = 21\)
Give each answer as an exact answer.
- Explain why the function f does not have an inverse.