Differentiation - Tangents and Normals at a Point

The diagram shows part of the curve \(y = \frac{6x + 3}{x + 1}\) for \(x > -1\). The gradient of the curve at \(P\) is \(\frac{1}{2}\).

1. Given that the normal to the curve at \(P\) meets the \(x\)-axis at \(Q\) and the \(y\)-axis at \(R\), find the area of triangle \(ROQ\).
2. The line \(y = c\) does not intersect the curve. By expressing \(y = \frac{6x + 3}{x + 1}\) in the form \(a + \frac{b}{x + 1}\), where \(a\), \(b\) and \(c\) are constants, prove that \(c \geq 6\).