## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Yes, the opposites are: $-x$ and $-\frac{1}{x}=\frac{1}{-x}$
The two numbers $x$ and $\frac{1}{x}$ are reciprocals of each other. Their opposites are: $-x$ and $-\frac{1}{x}=\frac{1}{-x}$ They are also reciprocals of each other.