What is the domain of x/(-1+sqrt(-x)) ?

The domain of x/(-1+sqrt(-x)) is x<-1\lor-1<x<= 0

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domain of x/(-1+sqrt(-x))

domain

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

x < - 1 or - 1 < x \leq 0

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq 0

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or - 1 < x \leq 0

\frac{6 - x}{x ^{2} - 3 x + 2}

y = \frac{x}{x ^{2} - 49}

y = e^{- x} - 5

\frac{x ^{2}}{x ^{4} + 4}

f (x) = x

What is the domain of x/(-1+sqrt(-x)) ?
The domain of x/(-1+sqrt(-x)) is x<-1\lor-1<x<= 0