The curve C has equation \(y = f(x)\), where \(f(x) = \frac{x^2 + 2}{x^2 - x - 2}\).

1. (a) Find the equations of the asymptotes of C.
2. (b) Find the coordinates of any stationary points on C, giving your answers correct to 1 decimal place.
3. (c) Sketch C, stating the coordinates of any intersections with the axes.
4. (d) Sketch the curve with equation \(y = \frac{1}{f(x)}\).
5. (e) Find the set of values for which \(\frac{1}{f(x)} < f(x)\).