Find the domain of the given function.
-$$f ( x ) = \frac { ( x + 6 ) ( x - 6 ) } { x ^ { 2 } + 36 }$$
A) $( 36 , \infty )$
B) $( - \infty , - 36 ) \cup ( - 36,36 ) \cup ( 36 , \infty )$
C) $( - \infty , 6 ) \cup ( - 6,6 ) \cup ( 6 , \infty )$
D) All real numbers

Question

Quizplus · Accepted Answer

The denominator $x^2 + 36$ is always positive for all real x, because $x^2$ is always non-negative and adding 36 ensures it's always positive. Therefore, the function is defined for all real numbers.

Find the Domain of the Given Function f(x)=(x+6)(x−6)x2+36f ( x ) = \frac { ( x + 6 ) ( x - 6 ) } { x ^ { 2 } + 36 }f(x)=x2+36(x+6)(x−6)​

Find the Domain of the Given Function $f ( x ) = \frac { ( x + 6 ) ( x - 6 ) } { x ^ { 2 } + 36 }$