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