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

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

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

domain

f (x) = \frac{1}{x + 2}

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find non-negative values for radicals:

x > - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x > - 2

\frac{x ^{2} - 1}{x ^{3}}

ln (x - 1) + 2

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

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

f (x) = e^{x} + ln (x)

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