A curve with equation \(y = \mathrm { f } ( x )\) passes through the point \(( 4,9 )\).
Given that
$$f ^ { \prime } ( x ) = \frac { 3 \sqrt { } x } { 2 } - \frac { 9 } { 4 \sqrt { } x } + 2 , \quad x > 0$$
- find \(\mathrm { f } ( x )\), giving each term in its simplest form.
Point \(P\) lies on the curve.
The normal to the curve at \(P\) is parallel to the line \(2 y + x = 0\)
- Find the \(x\) coordinate of \(P\).