Question

Use the tables to answer the question.

x f(x)
−1
−12
1 −2
3 4
5 −2
6 −12
x g(x)
−1
−8
0 −5
1 −2
2 1
3 4
The tables represent the functions in the equation f(x)=g(x)
. What is the solution set?

(1 point)
The solution set is {
,
}.
Remaining Attempts : 3
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Answer 1

To find the solution set for the equation \( f(x) = g(x) \), we need to look for values of \( x \) for which \( f(x) \) and \( g(x) \) give the same output.

From the \( f(x) \) table, we have:

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

From the \( g(x) \) table, we have:

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

Now, we compare the outputs of both functions for the values in their respective tables:

1. For \( x = 1 \):
- \( f(1) = -2 \) and \( g(1) = -2 \) → Match
2. For \( x = 3 \):
- \( f(3) = 4 \) and \( g(3) = 4 \) → Match

Now let's summarize the matches:

- \( x = 1 \) gives \( f(1) = g(1) \)
- \( x = 3 \) gives \( f(3) = g(3) \)

Thus, the solution set for \( f(x) = g(x) \) is:

\[
\{1, 3\}
\]

So, the answer is:

The solution set is \{1, 3\}.