Question

y = √(x + 7)
what is the domain of the function?
x≥7
x≤ - 7
x≥0
x≤0

Explanation:

Step1: Recall domain - rule for square - root

For the function $y = \sqrt{x + 7}$, the expression under the square - root must be non - negative.
So, $x+7\geq0$.

Step2: Solve the inequality

Subtract 7 from both sides of the inequality $x + 7\geq0$.
We get $x\geq - 7$.

Answer:

$x\geq - 7$