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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 1

The function domain

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

y = \frac{tan ( x )}{sin ( x )} + \frac{c}{sin ( x )}

f (x) = - ∣ x ∣ + ∣ x - 1 ∣

f (x) = x - 4 + 1

f (x) = \frac{5}{e ^{x} - 1}

x^{4} - 2 x^{2} - 3

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