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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

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

The function domain

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

9^{x} x^{22 x} (x^{2} + 2 x)^{2}

\frac{x ^{2}}{7 - x}

f (x) = \frac{1}{4} x^{2} - 5 x + 11

- \frac{13}{x ^{2}}

f (x) = \frac{x + 7}{x ^{2} + 8 x + 7}

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