What is the domain of x/(sqrt(x-3)) ?

The domain of x/(sqrt(x-3)) is x>3

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domain of x/(sqrt(x-3))

domain

\frac{x}{x - 3}

x > 3

Interval Notation

(3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

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

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

x^{4} + 3 x^{3} - 2 x^{2} + 5

f (x) = \frac{5}{( x + 2 ) ^{3}}

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