Classify the Function as a Polynomial Function, Rational Function, or Root

question 40

Multiple Choice

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation.
- $$g ( x ) = \frac { 2 x } { x ^ { 2 } - 9 }$$

• A) rational function; \(( \infty , \infty )\)
• B) rational function; \(( 9 , \infty )\)
• C) rational function; \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• D) rational function; \(( \infty , - 3 ) \cup ( - 3,3 ) \cup ( 3 , \infty )\)

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Definitions:

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