The diagram shows the function \(f\) defined for \(-1 \leq x \leq 4\), where

\(f(x) = \begin{cases} 3x - 2 & \text{for } -1 \leq x \leq 1, \\ \frac{4}{5-x} & \text{for } 1 < x \leq 4. \end{cases}\)

(i) State the range of \(f\).

(ii) Copy the diagram and on your copy sketch the graph of \(y = f^{-1}(x)\).

(iii) Obtain expressions to define the function \(f^{-1}\), giving also the set of values for which each expression is valid.