What is the domain of f(x)= x/(coth(x-1)) ?

The domain of f(x)= x/(coth(x-1)) is x 1

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domain of f(x)= x/(coth(x-1))

domain

f (x) = \frac{x}{coth ( x - 1 )}

x < 1 or x > 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = - 7 - x

4 - 2 x

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

f (x) = - 2 cos (3 x - \frac{π}{2})

f (x) = 6 x - 9

What is the domain of f(x)= x/(coth(x-1)) ?
The domain of f(x)= x/(coth(x-1)) is x<1\lor x>1