if $f(x) = \sqrt{4x + 9} + 2$, which inequality can be used to find the domain of $f(x)$?

$\sqrt{4x} \ge 0$
$4x + 9 \ge 0$
$4x \ge 0$
$\sqrt{4x + 9} + 2 \ge 0$

Question

if $f(x) = \sqrt{4x + 9} + 2$, which inequality can be used to find the domain of $f(x)$?

$\sqrt{4x} \ge 0$
$4x + 9 \ge 0$
$4x \ge 0$
$\sqrt{4x + 9} + 2 \ge 0$

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", "Function Inequalities" ] } ## Identify the condition for a real square root $$ 4x + 9 \ge 0 $$

$\sqrt{4x} \ge 0$

$4x + 9 \ge 0$

$4x \ge 0$

$\sqrt{4x + 9} + 2 \ge 0$

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

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Identify the condition for a real square root

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