Find the domain of the function. $f ( x ) = \frac { \sqrt { x + 4 } } { 4 + x }$ A)Non-negative real numbers x B)All real numbers x C)All real numbers x such that x -4 D)Non-negative real numbers x except x =4 E)All real numbers x such that x

Question

Find the domain of the function. 
 $f ( x ) = \frac { \sqrt { x + 4 } } { 4 + x }$  
A)Non-negative real numbers x
B)All real numbers x
C)All real numbers x such that x > -4
D)Non-negative real numbers x except x =4
E)All real numbers x such that x < 4

Quizplus · Accepted Answer

The domain of $f(x) = \frac{\sqrt{x + 4}}{4 + x}$ is all real numbers x such that $x > -4$, because the square root requires $x + 4 \geq 0$, and the denominator $4 + x$ cannot be zero, which it never is under this condition.

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

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