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

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