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

question 108

Multiple Choice

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) \(\{ x \mid x \neq 2 \}\)

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Definitions:

Asymptotes

Lines that a graph approaches but never reaches, often defining the boundary of its behavior.

Vertices

The corner points where two or more edges meet in a geometric shape or figure; singular form is "vertex."

Ellipse

A plane curve encircling two centers where the total distance from any point on the curve to the two centers remains unchanged.

Center

The midpoint or central point of a geometric shape, or a point that is equidistant from all points on the circumference of a circle or sphere.