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

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