Find the domain of the given function.
-$$f ( x ) = \frac { x } { x - 6 }$$
A) $( - \infty , - 6 ) \cup ( - 6 , \infty )$
B) All real numbers
C) $( - \infty , 6 ) \cup ( 6 , \infty )$
D) $( 0 , \infty )$

Question

Quizplus · Accepted Answer

The domain of the function $f(x) = \frac{x}{x-6}$ excludes the value where the denominator equals zero, which is at $x = 6$. Therefore, the domain is all real numbers except 6, represented as $(-\infty, 6) \cup (6, \infty)$.

Find the Domain of the Given Function f(x)=xx−6f ( x ) = \frac { x } { x - 6 }f(x)=x−6x​

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