Let F(x)and G(x)be Two Functions $H ^ { \prime } ( 0 )$

Multiple Choice

Let f(x) and g(x) be two functions.Values of f(x) , f '(x) , g(x) , and g'(x) for x = 0, 1, and 2 are given in the table below.Use the information in the table to find $H ^ { \prime } ( 0 )$ if $H ( x ) =$ e ^g(x)
$$+ \pi$$ x.
$\begin{array} { c c c c c } \boldsymbol { x } & f ( x ) & f ^ { \prime } ( x ) & g ( x ) & g ^ { \prime } ( x ) \\0 & 1 & - 1 & 2 & 5 \\1 & - 1 & 2 & 4 & 0 \\2 & 7 & 3 & 11 & 0.5\end{array}$

A) $5 e ^ { 2 }$
B) $5 e + \pi$
C) $e ^ { 2 } + \pi$
D) $5 e ^ { 2 } + \pi$