What is the domain of f(x)= 5/(e^x-1) ?

The domain of f(x)= 5/(e^x-1) is x 0

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domain of f(x)= 5/(e^x-1)

domain

f (x) = \frac{5}{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

x^{4} - 2 x^{2} - 3

x^{4} - 2 x^{2} - 1

(x - 2) (x + 3)

f (x) = \frac{1}{( x + 7 ) ( x + 8 )}

y = 1 - 2 x - 3 - 2 x - x^{2}

What is the domain of f(x)= 5/(e^x-1) ?
The domain of f(x)= 5/(e^x-1) is x<0\lor x>0