A function is defined by \(f:x\mapsto \dfrac{1}{3-2x}\) for all values of \(x\) except \(x=\dfrac{3}{2}\).

- Find the values of \(x\) which map on to themselves under the function \(f\).
- Find an expression for \(f^{-1}\).
- Evaluate \(ff(2)\).

**Sketch**the graph of \(y=|x^2-4x+3|\) for the domain \(0\le x \le 5\), and state the corresponding range of \(y\).