Write the domain in interval notation.
-$$f ( x ) = \frac { x - 4 } { x - 5 }$$
A) $( - \infty , \infty )$
B) $( - \infty , 5 ) \cup ( 5 , \infty )$
C) $( ( - \infty , - \sqrt { 5 } ) \cup ( - \sqrt { 5 } , \sqrt { 5 } ) \cup ( \sqrt { 5 } , \infty )$
D) $( - \infty , 4 ) \cup ( 4 , \infty )$

Question

Quizplus · Accepted Answer

The function is undefined at $x = 5$ because it would result in division by zero. Everywhere else, the function is defined. Hence, the domain excludes only $x = 5$, which is represented by the interval notation $( - \infty , 5 ) \cup ( 5 , \infty )$.

Write the Domain in Interval Notation f(x)=x−4x−5f ( x ) = \frac { x - 4 } { x - 5 }f(x)=x−5x−4​

Write the Domain in Interval Notation $f ( x ) = \frac { x - 4 } { x - 5 }$