What is the domain of f(x)= 1/(x-1)-3 ?

The domain of f(x)= 1/(x-1)-3 is x 1

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domain of f(x)= 1/(x-1)-3

domain

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

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) = 2 - x + 2

y = - 1, x \geq 0

4 x - 6, x \neq = 1

3 x + 8

w (x) = - (3 x)^{\frac{1}{2}} - 4

What is the domain of f(x)= 1/(x-1)-3 ?
The domain of f(x)= 1/(x-1)-3 is x<1\lor x>1