Find the domain of the function.
-$$f ( x ) = x - \frac { 8 } { x - 5 }$$
A) $( - \infty , 5 ) \cup ( 5 , \infty )$
B) $( - \infty , \infty )$
C) $( - \infty , 5 ) \cup ( 5,8 ) \cup ( 8 , \infty )$
D) $( - \infty , 8 ) \cup ( 8 , \infty )$

Question

Quizplus · Accepted Answer

The function is undefined when the denominator is zero, which occurs at $x = 5$. Therefore, the domain excludes $x = 5$, resulting in $( - \infty , 5 ) \cup ( 5 , \infty )$.

Find the Domain of the Function f(x)=x−8x−5f ( x ) = x - \frac { 8 } { x - 5 }f(x)=x−x−58​

Find the Domain of the Function $f ( x ) = x - \frac { 8 } { x - 5 }$