8 A curve has equation \(y = \frac { 3 x ^ { 2 } - 9 } { x ^ { 2 } + 3 x - 4 }\).
- Find the equations of the two vertical asymptotes and the one horizontal asymptote of this curve.
- State, with justification, how the curve approaches the horizontal asymptote for large positive and large negative values of \(x\).
- Sketch the curve.
- Solve the inequality \(\frac { 3 x ^ { 2 } - 9 } { x ^ { 2 } + 3 x - 4 } \geqslant 0\).