The functions $f$ and $g$ have continuous second derivatives. The table below gives values of the functions and their derivatives at selected values of $x$.

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\begin{tabular}{ | c | | c | c | c | c | }
\hline
$x$ & $f ( x )$ & $f ^ { \prime } ( x )$ & $g ( x )$ & $g ^ { \prime } ( x )$ \\
\hline
1 & $-6$ & 3 & 2 & 8 \\
\hline
2 & 2 & $-2$ & $-3$ & 0 \\
\hline
3 & 8 & 7 & 6 & 2 \\
\hline
6 & 4 & 5 & 3 & $-1$ \\
\hline
\end{tabular}
\end{center}

(a) Let $k ( x ) = f ( g ( x ) )$. Write an equation for the line tangent to the graph of $k$ at $x = 3$.\\
(b) Let $h ( x ) = \frac { g ( x ) } { f ( x ) }$. Find $h ^ { \prime } ( 1 )$.\\
(c) Evaluate $\int _ { 1 } ^ { 3 } f ^ { \prime \prime } ( 2 x ) \, d x$.