what is the domain of the function y = 2\\sqrt{x - 5}?\no x≥ - 5\no x≥2\no x≥5\no x≥10

Explanation:

Step1: Recall domain - square root rule

For $\sqrt{a}$, $a\geq0$. Here $a = x - 5$. So we have $x-5\geq0$.

Step2: Solve the inequality

Add 5 to both sides of $x - 5\geq0$. $x-5 + 5\geq0 + 5$, which simplifies to $x\geq5$.

Answer:

C. $x\geq5$