Express \(9 x ^ { 2 } - 6 x + 6\) in the form \(( a x + b ) ^ { 2 } + c\), where \(a , b\) and \(c\) are constants.
The function f is defined by \(\mathrm { f } ( x ) = 9 x ^ { 2 } - 6 x + 6\) for \(x \geqslant p\), where \(p\) is a constant.
State the smallest value of \(p\) for which f is a one-one function.
For this value of \(p\), obtain an expression for \(\mathrm { f } ^ { - 1 } ( x )\), and state the domain of \(\mathrm { f } ^ { - 1 }\).
State the set of values of \(q\) for which the equation \(\mathrm { f } ( x ) = q\) has no solution.