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

The domain of g(x)= 1/(x-1) is x 1

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domain of g(x)= 1/(x-1)

domain

g (x) = \frac{1}{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

7 x^{2} - 12 x + 21

f (x) = arcsin (e^{3 x})

y = \frac{x ^{2} - 9}{x ^{2} + 2 x - 8}

f (x) = \frac{1}{2 x - 3}

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