What is the domain of (3x^3-x^2-12x+4)/(x^2+3x+2) ?

The domain of (3x^3-x^2-12x+4)/(x^2+3x+2) is x -1

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domain of (3x^3-x^2-12x+4)/(x^2+3x+2)

domain

\frac{3 x ^{3} - x ^{2} - 12 x + 4}{x ^{2} + 3 x + 2}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 2

The function domain

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

\frac{x + 3}{3 x + 2}

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

\frac{1 - x}{x ^{2} - 1}

f (x) = \frac{x - 1}{x ^{2} - 81}

(x - 1)^{2}

What is the domain of (3x^3-x^2-12x+4)/(x^2+3x+2) ?
The domain of (3x^3-x^2-12x+4)/(x^2+3x+2) is x<-2\lor-2<x<-1\lor x>-1