What is the domain of f(x)= 2/(x-1) ?

The domain of f(x)= 2/(x-1) is x 1

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domain of f(x)= 2/(x-1)

domain

f (x) = \frac{2}{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

y = - \frac{1}{2} x^{2} + 7

f (x) = 5 cos (4 x)

f (x) = 2 x + 15

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

\frac{( 9 + x )}{9 - x}

What is the domain of f(x)= 2/(x-1) ?
The domain of f(x)= 2/(x-1) is x<1\lor x>1