To find the opposite of [tex]\( g(x) \)[/tex]:
1. Recall the mathematical property that the opposite (or additive inverse) of any function [tex]\( g(x) \)[/tex] is found by simply negating the entire function.
2. This means multiplying the function [tex]\( g(x) \)[/tex] by -1.
Step-by-step:
- Start with the function [tex]\( g(x) \)[/tex].
- To find the opposite of [tex]\( g(x) \)[/tex], multiply [tex]\( g(x) \)[/tex] by -1.
Mathematically, this can be expressed as:
[tex]\[ -g(x) = -1 \cdot g(x) \][/tex]
Therefore, the opposite of [tex]\( g(x) \)[/tex] is:
[tex]\[ -g(x) \][/tex]
