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

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

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

domain

f (x) = \frac{1}{- e ^{x} + 1}

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 ^{2} - 4 x}{x - 4}

f (x) = \frac{( - 2 x - 8 )}{( 5 x + 20 )}

f (x) = x^{2} - 270 + 8100 = 0

(x^{2} + 2 x - 8)^{3}

y = - \frac{7}{4} x - \frac{1}{2}, (11, 13)

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