Write the domain in interval notation.
-$$r ( x ) = \frac { - 14 } { x ^ { 2 } + 81 }$$
A) $( \infty , 0 ) \cup ( 0 , \infty )$
B) $( \infty , \infty )$
C) $( \infty , - 9 ) \cup ( 9 , \infty )$
D) $( - \infty , - 9 ) \cup ( - 9,9 ) \cup ( 9 , \infty )$

Question

Quizplus · Accepted Answer

The denominator $x^2 + 81$ is never zero for any real value of $x$, because $x^2$ is always non-negative, and adding 81 ensures the expression is always positive. Therefore, the function is defined for all real numbers, which is represented by $(-\infty, \infty)$.

Write the Domain in Interval Notation r(x)=−14x2+81r ( x ) = \frac { - 14 } { x ^ { 2 } + 81 }r(x)=x2+81−14​

Write the Domain in Interval Notation $r ( x ) = \frac { - 14 } { x ^ { 2 } + 81 }$