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

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.
- $$h ( t ) = \frac { t - 4 } { t ^ { 3 } - 9 t }$$

A) rational function; $( - \infty , 0 ) \cup ( 0 , \infty )$
B) rational function; $( - \infty , 4 ) \cup ( 4 , \infty )$
C) rational function; $( \alpha , \infty )$
D) rational function; $( \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0,3 ) \cup ( 3 , \infty )$