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