Find the domain of the function.
-$$y = \frac { x } { \sqrt { x - 4 } }$$
A) $( 4 , \infty )$
B) all real numbers except 4
C) $[ 4 , \infty )$
D) $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The domain of the function is determined by the conditions under which the expression under the square root, $x - 4$, is non-negative (since we cannot take the square root of a negative number in the real number system) and the denominator of the fraction, $\sqrt{x - 4}$, is not zero (since division by zero is undefined). Therefore, $x - 4 > 0$, which simplifies to $x > 4$. This corresponds to the interval $(4, \infty)$.

Find the Domain of the Function y=xx−4y = \frac { x } { \sqrt { x - 4 } }y=x−4​x​

Find the Domain of the Function $y = \frac { x } { \sqrt { x - 4 } }$