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

The domain of (e^x)/(sqrt(1-e^x)) is x<0

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domain of (e^x)/(sqrt(1-e^x))

domain

\frac{e ^{x}}{1 - e ^{x}}

x < 0

Interval Notation

(- \infty, 0)

Solution steps

Find non-negative values for radicals:

x \leq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0

4 x^{2} - 4

f (x) = x e^{x}

f (x) = x + 6

\frac{x ^{4} + 11}{x ^{2} + 10 x + 26}

\frac{1}{x} - 1

What is the domain of (e^x)/(sqrt(1-e^x)) ?
The domain of (e^x)/(sqrt(1-e^x)) is x<0