What is the domain of ((x^2-4))/(x^3+x^2-4x-4) ?

The domain of ((x^2-4))/(x^3+x^2-4x-4) is x 2

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domain of ((x^2-4))/(x^3+x^2-4x-4)

domain

\frac{( x ^{2} - 4 )}{x ^{3} + x ^{2} - 4 x - 4}

x < - 2 or - 2 < x < - 1 or - 1 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, - 1) \cup (- 1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 2, x = 2

The function domain

x < - 2 or - 2 < x < - 1 or - 1 < x < 2 or x > 2

What is the domain of ((x^2-4))/(x^3+x^2-4x-4) ?
The domain of ((x^2-4))/(x^3+x^2-4x-4) is x<-2\lor-2<x<-1\lor-1<x<2\lor x>2