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

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

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

domain

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

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

The function domain

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

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