What is the domain of f(x)=(x-1)/(\frac{x-1){x-3}} ?

The domain of f(x)=(x-1)/(\frac{x-1){x-3}} is x 3

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

domain

x < 1 or 1 < x < 3 or x > 3

Interval Notation

(- \infty, 1) \cup (1, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = 3

The function domain

x < 1 or 1 < x < 3 or x > 3

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