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{x + 1}{x ^{2} - 6 x + 5}

x^{2} - 7 x + 12

\frac{6 x - 7}{5 x + 4}

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

f (x) = 2 t + t^{2}

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