Find the domain of the rational function.
-$$f ( x ) = \frac { 4 } { x + 4 }$$
A) domain of $f : ( \infty , - 4 ) \cup ( - 4 , \infty )$
B) domain of $f : ( \infty , 0 ) \cup ( 0 , \infty )$
C) domain of $\mathrm { f } : ( \infty , 4 ) \cup ( 4 , \infty )$
D) domain of $\mathrm { f } : ( \infty , \infty )$

Question

Find the domain of the rational function.
-$$f ( x ) = \frac { 4 } { x + 4 }$$
A) domain of $f : ( \infty , - 4 ) \cup ( - 4 , \infty )$ 
B) domain of $f : ( \infty , 0 ) \cup ( 0 , \infty )$ 
C) domain of $\mathrm { f } : ( \infty , 4 ) \cup ( 4 , \infty )$ 
D) domain of $\mathrm { f } : ( \infty , \infty )$

Quizplus · Accepted Answer

The domain of a function includes all the values for which the function is defined. For the function $f(x) = \frac{4}{x + 4}$, it is undefined when the denominator equals zero, which occurs when $x + 4 = 0$ or $x = -4$. Therefore, the domain excludes $x = -4$ and includes all other real numbers, which is represented by $(-\infty, -4) \cup (-4, \infty)$.

Find the Domain of the Rational Function f(x)=4x+4f ( x ) = \frac { 4 } { x + 4 }f(x)=x+44​

Find the Domain of the Rational Function $f ( x ) = \frac { 4 } { x + 4 }$