Find the domain of the function.
-$\frac { x } { \sqrt { x - 2 } }$
A) $\{ x \mid x 2 \}$
B) $\{ x \mid x \geq 2 \}$
C) all real numbers
D) $\{ x \mid x \neq 2 \}$

Question

Find the domain of the function.
-$\frac { x } { \sqrt { x - 2 } }$
A) $\{ x \mid x > 2 \}$
B) $\{ x \mid x \geq 2 \}$
C) all real numbers
D) $\{ x \mid x \neq 2 \}$

Quizplus · Accepted Answer

The domain of the function $\frac { x } { \sqrt { x - 2 } }$ is all x for which the expression under the square root, $x - 2$, is greater than 0 (since the square root of a negative number is not real), and the denominator cannot be 0. Therefore, $x - 2 > 0$, which simplifies to $x > 2$.

Find the Domain of the Function xx−2\frac { x } { \sqrt { x - 2 } }x−2​x​

Find the Domain of the Function $\frac { x } { \sqrt { x - 2 } }$