Find the domain of the function.
-$$g ( x ) = \frac { x } { x ^ { 2 } - 36 }$$
A) $( - \infty , - 6 ) \cup ( - 6,6 ) \cup ( 6 , \infty )$
B) $( - \infty , 0 ) \cup ( 0 , \infty )$
C) $( 36 , \infty )$
D) $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The domain of $g(x) = \frac{x}{x^2 - 36}$ excludes values of $x$ that make the denominator zero. The denominator $x^2 - 36 = 0$ when $x = \pm 6$. Therefore, the domain is all real numbers except $x = -6$ and $x = 6$, which is option A: $(- \infty , - 6 ) \cup ( - 6,6 ) \cup ( 6 , \infty )$.

Find the Domain of the Function g(x)=xx2−36g ( x ) = \frac { x } { x ^ { 2 } - 36 }g(x)=x2−36x​

Find the Domain of the Function $g ( x ) = \frac { x } { x ^ { 2 } - 36 }$