What is the domain of sqrt(x/(x+2)) ?

The domain of sqrt(x/(x+2)) is x = 0

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domain of sqrt(x/(x+2))

domain

\frac{x}{x + 2}

x < - 2 or x \geq 0

Interval Notation

(- \infty, - 2) \cup [0, \infty)

Solution steps

Find non-negative values for radicals:

x < - 2 or x \geq 0

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x \geq 0

h (x) = \frac{1}{2} lo g_{3} (x)

- x^{2} + 5

\frac{( x + 7 )}{x - 3}

f (x) = (x - 5) (x - 3)

f (x) = \frac{4}{3} x - 1

What is the domain of sqrt(x/(x+2)) ?
The domain of sqrt(x/(x+2)) is x<-2\lor x>= 0