To solve this problem, we are given that $g(x) = f(-x)$. This means the value of $g(x)$ at a particular $x$-value corresponds to the value of $f(x)$ at the negative of that $x$-value.

Here's how we can use this to complete the table:

1. For $g(1)$, we need to find $f(-1)$. However, we don't have information for $f(-1)$ directly in the table, so we will need to skip this and use the other values that have clear opposites.

2. For $g(15)$, we use $f(-15)$. There is no direct $f(-15)$ in the table, so this value also cannot be directly determined from the current data.

3. We can compute the values where the sign flips have corresponding dataTo solve this problem, we are given that $g(x) = f(-x)$. This means the value of $g(x)$ at a particular $x$-value corresponds to the value of $f(x)$ at the negative of that $x$-value.

Here's how we can use this to complete the table:

1. For $g(1)$, we need to find $f(-1)$. However, we don't have information for $f(-1)$ directly in the table, so we will need to skip this and use the other values that have clear opposites.

2. For $g(15)$, we use $f(-15)$. There is no direct $f(-15)$ in the table, so this value also cannot be directly determined from the current data.

3. We can compute the values where the sign flips have corresponding

   • For $g(-8)$, we look at $f(8)$, but again no $f(8)$ is present.
   • Other values seem similarly hard to determine directly from the