what is the domain of the function y = √x + 4?\n-∞ < x < ∞\n-4 ≤ x < ∞\n0 ≤ x < ∞\n4 ≤ x < ∞
what is the domain of the function y = √x + 4?\n-∞ < x < ∞\n-4 ≤ x < ∞\n0 ≤ x < ∞\n4 ≤ x < ∞
Answer
Explanation:
Step1: Recall square - root domain rule
The expression under a square - root $\sqrt{u}$ must satisfy $u\geq0$. In the function $y = \sqrt{x}+4$, the expression under the square - root is $x$.
Step2: Set up the inequality
We set up the inequality $x\geq0$.
Answer:
$0\leq x<\infty$ (corresponding to the third option)