What is the domain of v(x)=(x+10)/(sqrt(x+3)) ?

The domain of v(x)=(x+10)/(sqrt(x+3)) is x>-3

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domain of v(x)=(x+10)/(sqrt(x+3))

domain

v (x) = \frac{x + 10}{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

\frac{1}{x ^{2} + 7 - 4}

x^{2} - x + 6

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

f (z) = e^{2 z}

f (x) = \frac{3 + x}{x ^{2} - 81}

What is the domain of v(x)=(x+10)/(sqrt(x+3)) ?
The domain of v(x)=(x+10)/(sqrt(x+3)) is x>-3