What is the domain of (x^2)/(sqrt(x-3)) ?

The domain of (x^2)/(sqrt(x-3)) is x>3

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domain of (x^2)/(sqrt(x-3))

domain

\frac{x ^{2}}{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 + 1 ) ^{2}}{1 + x ^{2}}

f (x) = 10 x + 6

y = \frac{3}{x - 3}

f (x) = - 10 x^{2} - 11 x + 6

f (x) = \frac{4 - x ^{2}}{x ^{2} - x - 6}

What is the domain of (x^2)/(sqrt(x-3)) ?
The domain of (x^2)/(sqrt(x-3)) is x>3