what is the domain of this square root function?

\f(x) = \sqrt{5x + 40} - 7\

\x \ge ?\

Question

what is the domain of this square root function?

\f(x) = \sqrt{5x + 40} - 7\

\x \ge ?\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Domain of Radical Functions", "Radicand Inequality" ], "new_concepts": [], "current_concepts": [ "Domain of Radical Functions", "Radicand Inequality" ] } ## Set up the radicand inequality $$ 5x + 40 \ge 0 $$ ## Solve for x $$ \begin{aligned} 5x &\ge -40 \ x &\ge -8 \end{aligned} $$ What is the domain of this square root function? $f(x) = \sqrt{5x + 40} - 7$ $x \ge$ -8 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Domain of Radical Functions" ] }

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Explanation:

Set up the radicand inequality

Solve for x

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