jmc

The values of a function $f(x)$ are given in the table below. \begin{array}{|r||c|c|c|c|c|c|} \hline $x$ & 1 & 2 & 3 & 5 & 8 & 13 \\ \hline $f(x)$ & 3 & 13 & 8 & 1 & 0 & 5 \\ \hline \end{array}If $f^{-1}$ exists, what is $f^{-1}\left(\frac{f^{-1}(5)+f^{-1}(13)}{f^{-1}(1)}\right)$?