What is the domain of f(x)= 1/(sqrt(x+2)) ?

The domain of f(x)= 1/(sqrt(x+2)) is x>-2

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domain of f(x)= 1/(sqrt(x+2))

domain

f (x) = \frac{1}{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

(- 5, - 1), (- 2, 1)

f (x) = 19 x^{4} - 114 x^{2}

f (x) = x^{2} + 16 x - 4

\frac{x + 4}{8 x}

f (x) = x^{2} - x

What is the domain of f(x)= 1/(sqrt(x+2)) ?
The domain of f(x)= 1/(sqrt(x+2)) is x>-2