6 A curve has equation
$$y = \frac { ( x - 1 ) ( x - 3 ) } { x ( x - 2 ) }$$
- Write down the equations of the three asymptotes of this curve.
- State the coordinates of the points at which the curve intersects the \(x\)-axis.
- Sketch the curve.
(You are given that the curve has no stationary points.)
- Hence, or otherwise, solve the inequality
$$\frac { ( x - 1 ) ( x - 3 ) } { x ( x - 2 ) } < 0$$