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

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

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

domain

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

x \leq 0 or x > 1

Interval Notation

(- \infty, 0] \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x \leq 0 or x > 1

\frac{1}{x + 10}

f (x) = x + 4 + 1 - x

f (x) = \frac{6 x - 2}{3 x + 9}

\frac{x ^{2} - 25}{x + 3}

cos (x + π)

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