what is the domain of $f(x) = \frac{1}{x}$? what is its range?

the domain of $f(x) = \frac{1}{x}$ is .
(type your answer in interval notation.)

Question

what is the domain of $f(x) = \frac{1}{x}$? what is its range?

the domain of $f(x) = \frac{1}{x}$ 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": [], "new_concepts": [ "Domain of Rational Functions", "Interval Notation" ], "current_concepts": [ "Domain of Rational Functions", "Interval Notation" ] } ## Determine the domain restriction $$ x eq 0 $$ ## Express the domain in interval notation $$ (-\infty, 0) \cup (0, \infty) $$ The domain of $f(x) = \frac{1}{x}$ is $(-\infty, 0) \cup (0, \infty)$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Domain of Rational Functions" ] }

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Explanation:

Determine the domain restriction

Express the domain in interval notation

Answer: