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

The domain of f(x)=(2x)/(sqrt(x+2)) is x>-2

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

domain

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

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x > - 2

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

f (x) = \frac{x ^{3} - 27}{4 - x ^{2}}

\frac{ln ( x )}{x ^{2}}

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

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

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