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

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

You can earn partial credit on this problem.