What is the domain of (x^3+7x^2+12x)/(x^3+x^2-2x) ?

The domain of (x^3+7x^2+12x)/(x^3+x^2-2x) is x 1

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domain of (x^3+7x^2+12x)/(x^3+x^2-2x)

domain

\frac{x ^{3} + 7 x ^{2} + 12 x}{x ^{3} + x ^{2} - 2 x}

x < - 2 or - 2 < x < 0 or 0 < x < 1 or x > 1

Interval Notation

(- \infty, - 2) \cup (- 2, 0) \cup (0, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 1, x = - 2

The function domain

x < - 2 or - 2 < x < 0 or 0 < x < 1 or x > 1

f (x) = (x + 16)^{3}

f (x) = \frac{x ^{2} - 4}{x - 1}

f (x) = \frac{1}{x + 4} + 1

y = x^{2} + x + 1

x - 1 - 4

What is the domain of (x^3+7x^2+12x)/(x^3+x^2-2x) ?
The domain of (x^3+7x^2+12x)/(x^3+x^2-2x) is x<-2\lor-2<x<0\lor 0<x<1\lor x>1