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

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

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

domain

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

x < - 1 or - 1 < x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, - 1) \cup (- 1, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 1, x = 2

The function domain

x < - 1 or - 1 < x < 0 or 0 < x < 2 or x > 2

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

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

f (x) = \frac{2}{3} x - 12, - 6 \leq x \leq 4

y = 2 x

f (x) = 3 x + 2 + 1

What is the domain of f(x)=(2x)/(x^3-x^2-2x) ?
The domain of f(x)=(2x)/(x^3-x^2-2x) is x<-1\lor-1<x<0\lor 0<x<2\lor x>2