1 The function \(\mathrm { f } ( x )\) is defined for all real \(x\) by
\(f ( x ) = 3 x - 2\).
- Find an expression for \(\mathrm { f } ^ { - 1 } ( x )\).
- Sketch the graphs of \(y = \mathrm { f } ( x )\) and \(y = \mathrm { f } ^ { - 1 } ( x )\) on the same diagram.
- Find the set of values of \(x\) for which \(\mathrm { f } ( x ) > \mathrm { f } ^ { - 1 } ( x )\).