What is the domain of x/(sqrt(x-2)) ?

The domain of x/(sqrt(x-2)) is x>2

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domain of x/(sqrt(x-2))

domain

\frac{x}{x - 2}

x > 2

Interval Notation

(2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x > 2

(x - 1) e^{- \frac{1}{x}}

\frac{- x ^{2} + 2 x + 15}{x + 3}

ln (\frac{2 + x}{2 - x})

f (x) = \frac{2 cos ( x ) - 1}{sin ( x ) - 1}

f (x) = \frac{1 - ln ( x )}{2 + ln ( x )}