Find the domain of $f ( x ) = \frac { x + 6 } { x - 8 }$ .
A) the set of all real numbers except x = - 8
B) the set of all real numbers except x = - 6
C) the set of all real numbers except x = 6
D) the set of all real numbers except x = 8

Question

Quizplus · Accepted Answer

The only restriction on the domain of the function is that the denominator cannot be equal to zero since division by zero is undefined. Thus, we need to exclude the value x = 8, which makes the denominator equal to zero. Therefore, the domain is the set of all real numbers except x = 8, which is represented by choice D.

Find the Domain Of f(x)=x+6x−8f ( x ) = \frac { x + 6 } { x - 8 }f(x)=x−8x+6​

Find the Domain Of $f ( x ) = \frac { x + 6 } { x - 8 }$