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

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

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

domain

f (x) = \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

- 3 x^{3} + 5 x^{2} + 16 x

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

\frac{2 x}{x + 1}

\frac{x ^{2} - 4}{x + 3}

2 y + 3 x = 7

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