2. The function \(f\) and the function \(g\) are defined by
$$\begin{array} { l l }
\mathrm { f } ( x ) = \frac { 12 } { x + 1 } & x > 0 , x \in \mathbb { R }
\mathrm {~g} ( x ) = \frac { 5 } { 2 } \ln x & x > 0 , x \in \mathbb { R }
\end{array}$$
- Find, in simplest form, the value of \(\mathrm { fg } \left( \mathrm { e } ^ { 2 } \right)\)
- Find f-1
- Hence, or otherwise, find all real solutions of the equation
$$\mathrm { f } ^ { - 1 } ( x ) = \mathrm { f } ( x )$$