What is the domain of (x^2+x-6)/((x+8)(x^2-x-2)) ?

The domain of (x^2+x-6)/((x+8)(x^2-x-2)) is x 2

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domain of (x^2+x-6)/((x+8)(x^2-x-2))

domain

\frac{x ^{2} + x - 6}{( x + 8 ) ( x ^{2} - x - 2 )}

x < - 8 or - 8 < x < - 1 or - 1 < x < 2 or x > 2

Interval Notation

(- \infty, - 8) \cup (- 8, - 1) \cup (- 1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 8, x = - 1, x = 2

The function domain

x < - 8 or - 8 < x < - 1 or - 1 < x < 2 or x > 2

What is the domain of (x^2+x-6)/((x+8)(x^2-x-2)) ?
The domain of (x^2+x-6)/((x+8)(x^2-x-2)) is x<-8\lor-8<x<-1\lor-1<x<2\lor x>2