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

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

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

domain

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

f (x) = \frac{x ^{2} + 6 x - 7}{x ^{2} + 2 x - 3}

f (x) = \frac{3 x ^{2}}{x ^{2} - 1}

\frac{( x ^{2} + 5 x + 4 )}{x - 2}

f (x) = \frac{( x - 3 ) ^{2}}{x ^{2}}

4 x + 5 y = 20

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