What is the domain of f(x)=(x-1)/((x+1)(x^2-3)) ?

The domain of f(x)=(x-1)/((x+1)(x^2-3)) is x sqrt(3)

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domain of f(x)=(x-1)/((x+1)(x^2-3))

domain

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 3, x = 3

The function domain

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

What is the domain of f(x)=(x-1)/((x+1)(x^2-3)) ?
The domain of f(x)=(x-1)/((x+1)(x^2-3)) is x<-sqrt(3)\lor-sqrt(3)<x<-1\lor-1<x<sqrt(3)\lor x>sqrt(3)