State the domain of the rational function.
-$$f ( x ) = \frac { 14 } { x + 5 }$$
A) $( - \infty , \infty )$
B) $( - \infty , 5 ) \cup ( 5 , \infty )$
C) $( - 5 , \infty )$
D) $( - \infty , - 5 ) \cup ( - 5 , \infty )$

Question

Quizplus · Accepted Answer

The domain of a rational function includes all real numbers except where the denominator equals zero. For $f(x) = \frac{14}{x + 5}$, the denominator is zero when $x = -5$. Therefore, the domain is all real numbers except $-5$, which is represented by option D: $( - \infty , - 5 ) \cup ( - 5 , \infty )$.

State the Domain of the Rational Function f(x)=14x+5f ( x ) = \frac { 14 } { x + 5 }f(x)=x+514​

State the Domain of the Rational Function $f ( x ) = \frac { 14 } { x + 5 }$