This problem tests calculating new functions from old ones:
From the table below calculate the quantities asked for:
\(x\) \(-2\)\(-5\)\(-1\)\(4\)\(10\)\(2\)
\(f(x)\) \(19\)\(184\)\(4\)\(-41\)\(-821\)\(-5\)
\(g(x)\) \(-10\)\(-130\)\(-2\)\(68\)\(1010\)\(10\)
\(f'(x)\) \(-22\)\(-97\)\(-9\)\(-34\)\(-262\)\(-6\)
\(g'(x)\) \(13\)\(76\)\(4\)\(49\)\(301\)\(13\)

\(f(-1)/( g(-1) +5)\)
\((fg)(2)\)
\((f+g)'(-1)\)
\((f/g)'(-1)\)
If \(h(x)=g(f(x))\), calculate \(h'(2)\).

You can earn partial credit on this problem.