What is the domain of (x^3-2x^2-3x)/(x^2-4) ?

The domain of (x^3-2x^2-3x)/(x^2-4) is x 2

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domain of (x^3-2x^2-3x)/(x^2-4)

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

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

x + \frac{4}{x}

\frac{x ^{2} - 9 x + 20}{4 x ^{2} - 12 x - 40}

y = cos (x)

f (x) = 3 - 1 0^{x - 1}

f (x) = \frac{x - 4}{x ^{2} - 9}

What is the domain of (x^3-2x^2-3x)/(x^2-4) ?
The domain of (x^3-2x^2-3x)/(x^2-4) is x<-2\lor-2<x<2\lor x>2