3.
$$\mathrm { f } ( x ) = x ^ { 2 } - 2 x - 3 , x \in \mathbb { R } , x \geq 1$$
- Write down the domain and range of \(\mathrm { f } ^ { - 1 }\).
- Sketch the graph of \(\mathrm { f } ^ { - 1 }\), indicating clearly the coordinates of any point at which the graph intersects the coordinate axes.
- Find the gradient of \(f ^ { - 1 } ( x )\) when \(f ^ { - 1 } ( x ) = - \frac { 5 } { 3 }\)