Table 1

Question

f (x)
-1
-12
1
-2
3
And
x
4
5
-2
6
-12

Table 2
g(x)
-1
-8
0
-5
1
And
x
-2
2
1
3
4

Answer 1

It looks like you've provided two tables, one for a function \( f(x) \) and another for a function \( g(x) \). Let's reorganize and analyze the information in each table.

Table 1: \( f(x) \)

\[ \begin{array}{|c|c|} \hline x & f(x) \ \hline 4 & -1 \ 5 & -12 \ -2 & 1 \ 6 & -2 \ -12 & 3 \ \hline \end{array} \]

Table 2: \( g(x) \)

\[ \begin{array}{|c|c|} \hline x & g(x) \ \hline -2 & -1 \ 2 & -8 \ 1 & 0 \ 3 & -5 \ 4 & 1 \ \hline \end{array} \]

Analysis

1. Values of \( f(x) \) at specific inputs:

   • \( f(4) = -1 \)
   • \( f(5) = -12 \)
   • \( f(-2) = 1 \)
   • \( f(6) = -2 \)
   • \( f(-12) = 3 \)

2. Values of \( g(x) \) at specific inputs:

   • \( g(-2) = -1 \)
   • \( g(2) = -8 \)
   • \( g(1) = 0 \)
   • \( g(3) = -5 \)
   • \( g(4) = 1 \)

Further Exploration

If you are looking to analyze the relationship between \( f(x) \) and \( g(x) \), find their compositions \( f(g(x)) \) or \( g(f(x)) \), or look for intersections between the two functions, that could be the next step. Let me know what specific analysis or operation you'd like to perform with these functions!