- The functions \(f\) and \(g\) are defined by
$$\begin{aligned}
& \mathrm { f } ( x ) = 2 + 5 \ln x \quad x > 0
& \mathrm {~g} ( x ) = \frac { 6 x - 2 } { 2 x + 1 } \quad x > \frac { 1 } { 3 }
\end{aligned}$$
- Find \(\mathrm { f } ^ { - 1 } ( 22 )\)
- Use differentiation to prove that g is an increasing function.
- Find \(\mathrm { g } ^ { - 1 }\)
- Find the range of fg