what is the domain of the function y = 2\\sqrt{x - 6}?\n-\\infty<x<\\infty\n0\\leq x<\\infty\n3\\leq…
what is the domain of the function y = 2\\sqrt{x - 6}?\n-\\infty<x<\\infty\n0\\leq x<\\infty\n3\\leq x<\\infty\n6\\leq x<\\infty
Answer
Explanation:
Step1: Recall domain - rule for square - root
For $\sqrt{u}$, $u\geq0$. Here $u = x - 6$. So we set up the inequality $x-6\geq0$.
Step2: Solve the inequality
Add 6 to both sides of $x - 6\geq0$. We get $x\geq6$, which can be written as $6\leq x<\infty$.
Answer:
$6\leq x<\infty$ (corresponding to the last option)