Given $$f ( x ) = \frac { x ^ { 2 } - 16 } { x + 4 } , g ( x ) = x - 4$$

Given $$f ( x ) = \frac { x ^ { 2 } - 16 } { x + 4 } , g ( x ) = x - 4$$ .Complete the table and explain how the two functions differ. $$\begin{array} { | c | c | c | c | c | c | c | c | } \hline x & - 6 & - 5.5 & - 5 & - 4.5 & - 4 & - 3.5 & - 3 \\\hline f ( x ) & & & & & & & \\\hline g ( x ) & & & & & & & \\\hline\end{array}$$
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A) ​ $$\begin{array} { | c | c | c | c | c | c | c | c | } \hline x & - 6 & - 5.5 & - 5 & - 4.5 & - 4 & - 3.5 & - 3 \\\hline f ( x ) & - 10 & - 9.5 & - 9 & - 8.5 & \text { Undefined } & - 7.5 & - 7 \\\hline g ( x ) & - 10 & - 9.5 & - 9 & - 8.5 & - 8 & - 7.5 & - 7 \\\hline\end{array}$$ The graph of f(x) = g(x) except when x = -4.Because the factor x + 4 canceled,there is a hole in the graph of f(x) when x = -4.
B) ​ $$\begin{array} { | c | c | c | c | c | c | c | c | } \hline x & - 6 & - 5.5 & - 5 & - 4.5 & - 4 & - 3.5 & - 3 \\\hline f ( x ) & - 10 & - 9.5 & - 9 & - 8.5 & - 8 & \text { Undefined } & - 7 \\\hline g ( x ) & - 10 & - 9.5 & - 9 & - 8.5 & - 8 & - 7.5 & - 7 \\\hline\end{array}$$
The graph of f(x) = g(x) except when x = -3.5.Because the factor x + 4 canceled,there is a hole in the graph of f(x) when x = -3.5.
C) ​ $$\begin{array} { | c | c | c | c | c | c | c | c | } \hline x & - 6 & - 5.5 & - 5 & - 4.5 & - 4 & - 3.5 & - 3 \\\hline f ( x ) & - 10 & - 9.5 & - 9 & \text { Undefined } & - 8 & - 7.5 & - 7 \\\hline g ( x ) & - 10 & - 9.5 & - 9 & - 8.5 & - 8 & - 7.5 & - 7 \\\hline\end{array}$$
The graph of f(x) = g(x) except when x = -4.5.Because the factor x + 4 canceled,there is a hole in the graph of f(x) when x = -4.5.
D) ​ $$\begin{array} { | c | c | c | c | c | c | c | c | } \hline x & - 6 & - 5.5 & - 5 & - 4.5 & - 4 & - 3.5 & - 3 \\\hline f ( x ) & - 10 & - 9.5 & \text { Undefined } & - 8.5 & - 8 & - 7.5 & - 7 \\\hline g ( x ) & - 10 & - 9.5 & - 9 & - 8.5 & - 8 & - 7.5 & - 7 \\\hline\end{array}$$
The graph of f(x) = g(x) except when x = -5.Because the factor x + 4 canceled,there is a hole in the graph of f(x) when x = -5.
E) ​ $$\begin{array} { | c | c | c | c | c | c | c | c | } \hline x & - 6 & - 5.5 & - 5 & - 4.5 & - 4 & - 3.5 & - 3 \\\hline f ( x ) & - 10 & \text { Undefined } & - 9 & - 8.5 & - 8 & - 7.5 & - 7 \\\hline g ( x ) & - 10 & - 9.5 & - 9 & - 8.5 & - 8 & - 7.5 & - 7 \\\hline\end{array}$$
The graph of f(x) = g(x) except when x = -5.5.Because the factor x + 4 canceled,there is a hole in the graph of f(x) when x = -5.5.​