2 The functions \(\mathrm { f } ( x )\) and \(\mathrm { g } ( x )\) are defined as follows. $$\begin{array} { l l } \mathrm { f } ( x ) = \ln x , & x > 0
\mathrm {~g} ( x ) = 1 + x ^ { 2 } , & x \in \mathbb { R } \end{array}$$ Write down the functions \(\mathrm { fg } ( x )\) and \(\mathrm { gf } ( x )\), and state whether these functions are odd, even or neither.