what is the domain of $y = \sqrt{x+7} + 5$?

$x \ge 0$
$x \ge 7$
$x \ge -7$
all real numbers

Question

what is the domain of $y = \sqrt{x+7} + 5$?

$x \ge 0$
$x \ge 7$
$x \ge -7$
all real numbers

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Domain of Functions" ], "new_concepts": [], "current_concepts": [ "Domain of Functions", "Square Root Transformations" ] } ## Set up the domain inequality Using the *Domain of Functions* knowledge point $$ x + 7 \ge 0 $$ ## Solve for x Using the *Domain of Functions* knowledge point $$ x \ge -7 $$

$x \ge 0$

$x \ge 7$

$x \ge -7$

all real numbers

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

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Question

Explanation:

Set up the domain inequality

Solve for x

Answer: