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

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

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

domain

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

x < - 2

Interval Notation

(- \infty, - 2)

Solution steps

Find non-negative values for radicals:

x \leq - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x < - 2

f (x) = \frac{1}{2 x ^{2} - 8}

\frac{x ^{2} - 8 x + 15}{x + 3}

- 4 x + 10

f (x) = 5 x^{6}

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

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