Question

What is the domain of y < square root 2x-6

Answer 1

Domain: x ≥ 3 ⇒ x ∈ [3, ∞)

Explanation:

`\text{We know:}\ √(x)\ \text{exist, if}\ x\geq0.\\\\\text{Therefore in}\ y<√(2x-6)\ \text{we have the domain:}\\\\2x-6\geq0\qquad\text{add 6 to both sides}\\2x\geq6\qquad\text{divide both sides by 2}\\x\geq3`