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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

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

The function domain

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

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