Question

the domain of (y = \sqrt{x - 5} - 1) is

all real numbers.
(x >= -5).
(x >= -1).
(x >= 1).
(x >= 5).

Explanation:

Set the radicand non-negative

Using the Square Root Function Domain knowledge point

$$ x - 5 \ge 0 $$

Solve the inequality for x

Using the Square Root Function Domain knowledge point

$$ x \ge 5 $$

Answer:

• all real numbers.
• \(x \ge -5\)
• \(x \ge -1\)
• \(x \ge 1\)
• \(x \ge 5\) (Correct answer)