3 The functions f and g are defined for all real values of \(x\) by
\(f ( x ) = 2 x ^ { 2 } + 6 x\) and \(g ( x ) = 3 x + 2\).
- Find the range of f .
- Give a reason why f has no inverse.
- Given that \(\mathrm { fg } ( - 2 ) = \mathrm { g } ^ { - 1 } ( a )\), where \(a\) is a constant, determine the value of \(a\).
- Determine the set of values of \(x\) for which \(\mathrm { f } ( x ) > \mathrm { g } ( x )\). Give your answer in set notation.