what is the domain of the function $y = 2sqrt{x - 6}$?\n$-infty<x<infty$\n$0leq x<infty$\n$3leq…
what is the domain of the function $y = 2sqrt{x - 6}$?\n$-infty<x<infty$\n$0leq x<infty$\n$3leq x<infty$\n$6leq x<infty$
Answer
Answer:
D. $6\leq x<\infty$
Explanation:
Step1: Recall domain - square root rule
For $\sqrt{u}$, $u\geq0$. Here $u = x - 6$.
Step2: Set up inequality
$x-6\geq0$.
Step3: Solve the inequality
Add 6 to both sides: $x\geq6$. So the domain is $6\leq x<\infty$.