What is the domain of (1+x)/(1-e^{-x)}-1/x ?

The domain of (1+x)/(1-e^{-x)}-1/x is x 0

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domain of (1+x)/(1-e^{-x)}-1/x

domain

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

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = \frac{x - 7}{x ^{2} - 49}

y = x^{2}

(- 10, - 1), (- 6, 7)

(- 1, 0), (- 3, - 4)

f (x) = 6 x^{3} - 6 x - 2 x^{2} + 2

What is the domain of (1+x)/(1-e^{-x)}-1/x ?
The domain of (1+x)/(1-e^{-x)}-1/x is x<0\lor x>0