Can we find an inverse and sketch a modulus function?

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

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