Let's complete the function table for the function [tex]\( g(x) = -x - 5 \)[/tex].
1. For [tex]\( x = -4 \)[/tex]:
[tex]\[
g(-4) = -(-4) - 5 = 4 - 5 = -1
\][/tex]
So, [tex]\( g(-4) = -1 \)[/tex].
2. For [tex]\( x = -3 \)[/tex]:
[tex]\[
g(-3) = -(-3) - 5 = 3 - 5 = -2
\][/tex]
So, [tex]\( g(-3) = -2 \)[/tex].
3. For [tex]\( x = 0 \)[/tex]:
[tex]\[
g(0) = -0 - 5 = -5
\][/tex]
So, [tex]\( g(0) = -5 \)[/tex].
4. For [tex]\( x = 2 \)[/tex]:
[tex]\[
g(2) = -2 - 5 = -7
\][/tex]
So, [tex]\( g(2) = -7 \)[/tex].
5. For [tex]\( x = 5 \)[/tex]:
[tex]\[
g(5) = -5 - 5 = -10
\][/tex]
So, [tex]\( g(5) = -10 \)[/tex].
Now, let's complete the table with these results.
[tex]\[
\begin{tabular}{|c|c|}
\hline
$x$ & $g(x)$ \\
\hline
-4 & -1 \\
\hline
-3 & -2 \\
\hline
0 & -5 \\
\hline
2 & -7 \\
\hline
5 & -10 \\
\hline
\end{tabular}
\][/tex]
