To understand the opposite of a function, let's start with the definition.
Given a function [tex]\( g(x) \)[/tex], the opposite of this function refers to its negation.
1. The original function is [tex]\( g(x) \)[/tex].
2. To find the opposite (or the negation) of the function, you simply multiply the entire function by [tex]\(-1\)[/tex].
3. Thus, the negation of [tex]\( g(x) \)[/tex] would be:
[tex]\[
-g(x)
\][/tex]
So, if you are asked to find what [tex]\( -g(x) \)[/tex] equals when referring to the negation of [tex]\( g(x) \)[/tex], it logically follows from the definition of negation that:
[tex]\[
-g(x) = -g(x)
\][/tex]
The expression is indeed self-explanatory and stands as it is. Therefore, the solution is:
[tex]\[
\boxed{-g(x) = -g(x)}
\][/tex]
This reflects that the negation of the function remains the same when expressed in terms of [tex]\( -g(x) \)[/tex].
