Answer
Yes, the functions f and g are inverses to each other.
Work Step by Step
From the given table, the following can be observed.
$\begin{align}
& f\left( 6 \right)=6\text{ and }g\left( 6 \right)=6 \\
& f\left( 8 \right)=7\text{ and }g\left( 7 \right)=8 \\
& f\left( 10 \right)=8\text{ and }g\left( 8 \right)=10 \\
& f\left( 12 \right)=9\text{ and }g\left( 9 \right)=12 \\
\end{align}$
From the above observations, it can be concluded that the functions f and g are inverses to each other by the result of inverse function.
Thus, the functions f and g are inverses to each other.
