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What is the domain of the function $\operatorname{sqrt}\text{,}$ where $\operatorname{sqrt}(x)=\sqrt{x}\text{,}$ using interval notation?

If needed, use inf for $\infty$ and U for $\cup\text{.}$

Solution

The function $\operatorname{sqrt}$ cannot take a negative number as an input. It can however take any positive number as input, or the number $0$ as input. Representing this on a number line, we find the domain is $[0,\infty)$ in interval notation.