Question: What is the domain of this function?
y = \sqrt{x}
{x | x > 0}
{x | x \geq 0}
{x | x < 0}
{x | x \leq 0}
1. **State the problem:** We need to find the domain of the function $$y = \sqrt{x}$$.
2. **Recall the domain rule for square roots:** The expression inside the square root must be greater than or equal to zero because the square root of a negative number is not a real number.
3. **Set the inequality:** $$x \geq 0$$.
4. **Interpret the inequality:** This means $$x$$ can be zero or any positive number.
5. **Write the domain in set notation:** $$\{x \mid x \geq 0\}$$.
**Final answer:** The domain of $$y = \sqrt{x}$$ is $$\{x \mid x \geq 0\}$$.