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\includegraphics[max width=\textwidth, alt={}, center]{62f7f1e2-a8e7-4574-a432-8e9b20b54d7a-4_819_812_255_662}
The diagram shows the function f defined for \(- 1 \leqslant x \leqslant 4\), where
$$f ( x ) = \begin{cases} 3 x - 2 & \text { for } - 1 \leqslant x \leqslant 1
\frac { 4 } { 5 - x } & \text { for } 1 < x \leqslant 4 \end{cases}$$
- State the range of f .
- Copy the diagram and on your copy sketch the graph of \(y = \mathrm { f } ^ { - 1 } ( x )\).
- Obtain expressions to define the function \(\mathrm { f } ^ { - 1 }\), giving also the set of values for which each expression is valid.