Find the domain of the function.
$f ( x ) = \frac { x - 4 } { \sqrt { x } }$
A)Non-negative real numbers x except x = 4
B)All real numbers x except x = 0
C)Non-negative real numbers x
D)All real numbers x
E)All real numbers x such that x 0

Question

Find the domain of the function. 
 $f ( x ) = \frac { x - 4 } { \sqrt { x } }$  
A)Non-negative real numbers x except x = 4
B)All real numbers x except x = 0
C)Non-negative real numbers x
D)All real numbers x
E)All real numbers x such that x > 0

Quizplus · Accepted Answer

The domain of $f(x) = \frac{x - 4}{\sqrt{x}}$ is all real numbers x such that $x > 0$, because the square root function in the denominator requires $x$ to be positive to be defined, and $x = 0$ would make the denominator zero, which is undefined. $x = 4$ is allowed because it results in a real number for the function.

Find the Domain of the Function f(x)=x−4xf ( x ) = \frac { x - 4 } { \sqrt { x } }f(x)=x​x−4​

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