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

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

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

domain

f (x) = \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

e^{2 x}

y = \frac{x ^{2} + 4 x + 3}{x ^{2} + 3 x}

f (x) = (x + 3)^{3} - 2

f (x) = (5 - 9 t)^{\frac{9}{2}}

f (x) = - (3 x^{2} + 1)^{3}

What is the domain of f(x)= x/(sqrt(x-2)) ?
The domain of f(x)= x/(sqrt(x-2)) is x>2