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The table you uploaded contains the following information:

### Given:
The relationship between \( g(x) \) and \( f(x) \) is:
\[
g(x) = f(-x)
\]

### Table 1: (Given \( f(x) \))
\[
\begin{array}{|c|c|c|c|c|}
\hline
x & 15 & -8 & -10 & 11 \\
\hline
f(x) & -4 & -9 & -8 & -6 \\
\hline
\end{array}
\]

### Table 2: (Values to be filled for \( g(x) \))
We will use the rule \( g(x) = f(-x) \), meaning that for each value of \( x \), we will find \( g(x) \) by looking at the value of \( f(-x) \).

- For \( x = 15 \), we need \( g(15) = f(-15) \). There's no value given for \( f(-15) \), so we leave this blank for now.
- For \( x = -8 \), \( g(-8) = f(8) \). Since \( f(8) \) is not given, we leave this blank.
- For \( x = -10 \), \( g(-10) = f(10) \), but again, \( f(10) \) is not given.
- For \( x = 11 \), \( g(11) = f(-11) \). Since \( f(-11) \) is not provided, this is left blank.

### Filling in the table
The rule \( g(x) = f(-x) \) requires additional information for \( f(x) \) at other values like \( f(8), f(-15), f(-11) \), etc., which is missing in the given data. Therefore, it's not possible to complete this table with the current information.

If you have any additional details or want me to proceed in a different direction, feel free to ask!

Would you like to ask questions or see related examples?

### Related questions:
1. How do transformations like \( f(-x) \) affect graphs and tables?
2. What happens to the function values when flipping a function across the y-axis?
3. How would you determine \( f(x) \) or \( g(x) \) values if a pattern was detected?
4. What are some common examples of function transformations?
5. How do we complete function tables when specific values are missing?

**Tip:** In function transformations, \( g(x) = f(-x) \) represents a reflection of \( f(x) \) across the y-axis.

Complete the table below given that g(x) = f(-x).

Learn how to complete a function table where g(x) is related to f(x) through the formula g(x) = f(-x). This problem involves understanding function transformations and reflections, with detailed steps suitable for high school math students.

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