9. The curve \(C\) has the equation \(y = \mathrm { f } ( x )\) where
$$f ^ { \prime } ( x ) = 1 + \frac { 2 } { \sqrt { x } } , \quad x > 0$$
The straight line \(l\) has the equation \(y = 2 x - 1\) and is a tangent to \(C\) at the point \(P\).
- State the gradient of \(C\) at \(P\).
- Find the \(x\)-coordinate of \(P\).
- Find an equation for \(C\).
- Show that \(C\) crosses the \(x\)-axis at the point \(( 1,0 )\) and at no other point.