What is the domain of (x^2-1)/(x^3+9x^2+14x) ?

The domain of (x^2-1)/(x^3+9x^2+14x) is x 0

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domain of (x^2-1)/(x^3+9x^2+14x)

domain

\frac{x ^{2} - 1}{x ^{3} + 9 x ^{2} + 14 x}

x < - 7 or - 7 < x < - 2 or - 2 < x < 0 or x > 0

Interval Notation

(- \infty, - 7) \cup (- 7, - 2) \cup (- 2, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2, x = - 7

The function domain

x < - 7 or - 7 < x < - 2 or - 2 < x < 0 or x > 0

What is the domain of (x^2-1)/(x^3+9x^2+14x) ?
The domain of (x^2-1)/(x^3+9x^2+14x) is x<-7\lor-7<x<-2\lor-2<x<0\lor x>0