To find the value of [tex]\( f(-1) \)[/tex], we need to look at the given table and determine the corresponding [tex]\( f(x) \)[/tex] value when [tex]\( x = -1 \)[/tex].
Here's the table provided:
[tex]\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-5 & 4 \\
\hline
-1 & 0 \\
\hline
6 & -1 \\
\hline
9 & -3 \\
\hline
\end{array}
\][/tex]
We need to find [tex]\( f(-1) \)[/tex]. By looking at the table and finding the x-value of -1, we see the following:
[tex]\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-1 & 0 \\
\hline
\end{array}
\][/tex]
Therefore, the corresponding [tex]\( f(x) \)[/tex] value when [tex]\( x = -1 \)[/tex] is [tex]\( 0 \)[/tex].
So, the value of [tex]\( f(-1) \)[/tex] is [tex]\( 0 \)[/tex].
