State the domain of the rational function.
-$$f ( x ) = \frac { x - 9 } { x ^ { 2 } + 4 }$$
A) $( - \infty , - 3 ) \cup ( - 3,3 ) \cup ( 3 , \infty )$
B) $( - \infty , - 4 ) \cup ( - 4 , \infty )$
C) $( - \infty , 4 ) \cup ( 4 , \infty )$
D) $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The denominator $x^2 + 4$ is never zero for any real value of $x$, because $x^2$ is always non-negative, making $x^2 + 4 > 0$ for all real $x$. Therefore, the domain is all real numbers.

State the Domain of the Rational Function f(x)=x−9x2+4f ( x ) = \frac { x - 9 } { x ^ { 2 } + 4 }f(x)=x2+4x−9​

State the Domain of the Rational Function $f ( x ) = \frac { x - 9 } { x ^ { 2 } + 4 }$