find the domain of the function.

(f(x) = \frac{1}{\sqrt{x - 9}}\)

the domain of (f(x)) is .
(type your answer in interval notation.)

Question

find the domain of the function.

(f(x) = \frac{1}{\sqrt{x - 9}}\)

the domain of (f(x)) is  .
(type your answer in interval notation.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Interval Notation" ], "new_concepts": [ "Domain of Radical Functions" ], "current_concepts": [ "Domain of Rational Functions", "Domain of Radical Functions", "Interval Notation" ] } ## Set the radicand inequality $$ x - 9 > 0 $$ ## Solve for x $$ x > 9 $$ ## Express in interval notation $$ (9, \infty) $$ The domain of $f(x)$ is $(9, \infty)$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Domain of Radical Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Set the radicand inequality

Solve for x

Express in interval notation

Answer: