Question

Which of the equations have a graph with a domain of x ≥ 3? Select two that apply.

Answer 1

I don’t see the list of answer choices — could you paste the equations here?

Meanwhile, here’s how to identify ones with domain x ≥ 3:

- A square root (or any even root) whose radicand is (x − 3) (or something that simplifies to x − 3 and must be ≥ 0) gives x − 3 ≥ 0 → x ≥ 3. Example: y = √(x − 3) or y = √(x − 3) + 5.
- Natural log ln(x − 3) or a denominator containing (x − 3) under a root gives stricter x > 3 (or x ≠ 3), so those do NOT produce x ≥ 3.
- A polynomial, linear, or cubic function will have all real x as domain, not x ≥ 3.
- √((x − 3)^2) has domain all real numbers (since (x − 3)^2 ≥ 0 for every x).

If you paste the specific equations, I’ll pick the two that apply.