I am trying to express the range and domain of a function with set builder notation. The domain is easy to express because it's just $\{x:x\in\mathbb{R}\backslash\{-1\}\}$, but the range is $y=(-\infty,-1)\cup(0,\infty)$ and I'm not sure how to express that $y$ is all real numbers outside of $[-1,0]$.
1
-
$\begingroup$ Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be closed. To prevent that, please edit the question. This will help you recognize and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers. $\endgroup$– José Carlos SantosOct 7, 2022 at 3:19
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
Use inequalities or the "different" sign. For instance the domain could be $\{x\in \mathbb R : x\neq 1\}$.
