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

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

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

domain

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

\frac{2 x ^{3} + 11 x ^{2} + 5 x}{2 x ^{2} + x}

- 2 x^{2} + 40000

f (x) = - 6 x + 18

(x - 1) (x - 6)

\frac{( x ^{2} + 1 )}{x ^{2} - 3 x}

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