Question

find the domain of the function. u(x)=\sqrt{x + 5} write your answer as an inequality, or, you may instead click on \empty set\ or \all reals\ as the answer.

Explanation:

Step1: Recall domain - rule for square - root

The expression inside the square - root must be non - negative. So, we set up the inequality $x + 5\geq0$.

Step2: Solve the inequality

Subtract 5 from both sides of the inequality $x+5\geq0$. We get $x\geq - 5$.

Answer:

$x\geq - 5$