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 $f(x) = \frac{x - 4}{\sqrt{x}}$ includes all $x$ values for which the expression is defined. The square root in the denominator requires $x > 0$ (since the square root of a negative number is not real), and there's no restriction from the numerator since $x - 4$ can be negative, zero, or positive. Thus, the domain is all positive real numbers, $x > 0$.

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 $f ( x ) = \frac { x - 4 } { \sqrt { x } }$