what is the domain of the function $y = 2\sqrt{x - 5}$?

$x \ge -5$
$x \ge 2$
$x \ge 5$
$x \ge 10$

Question

what is the domain of the function $y = 2\sqrt{x - 5}$?

$x \ge -5$
$x \ge 2$
$x \ge 5$
$x \ge 10$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Domain of Square Root Functions" ], "new_concepts": [], "current_concepts": [ "Domain of Square Root Functions" ] } ## Set the radicand to be non-negative $$ x - 5 \ge 0 $$ ## Solve the inequality for x $$ x \ge 5 $$

(A) $x \ge -5$

(B) $x \ge 2$

(C) $x \ge 5$

(D) $x \ge 10$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Domain of Square Root Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Set the radicand to be non-negative

Solve the inequality for x

Answer: