8. The function f is given by
$$f : x \text { a } \ln ( 3 x - 6 ) , \quad x \in ^ { \circ } , \quad x > 2$$
- Find \(\mathrm { f } ^ { - 1 } ( x )\).
- Write down the domain of \(\mathrm { f } ^ { - 1 }\) and the range of \(\mathrm { f } ^ { - 1 }\).
- Find, to 3 significant figures, the value of \(x\) for which \(\mathrm { f } ( x ) = 3\).
The function g is given by
$$g : x \text { a } \ln | 3 x - 6 | , \quad x \in ^ { \circ } , \quad x \neq 2$$
- Sketch the graph of \(y = \mathrm { g } ( x )\).
- Find the exact coordinates of all the points at which the graph of \(y = \mathrm { g } ( x )\) meets the coordinate axes.