What is the domain of (x^3-9x)/(3x^2-6x-9) ?

The domain of (x^3-9x)/(3x^2-6x-9) is x 3

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domain of (x^3-9x)/(3x^2-6x-9)

domain

\frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9}

x < - 1 or - 1 < x < 3 or x > 3

Interval Notation

(- \infty, - 1) \cup (- 1, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 1

The function domain

x < - 1 or - 1 < x < 3 or x > 3

f (x) = 2 x^{5} - 7 x^{3} + 4 x

x^{2} - 8 x + 12

6 x^{2} - 9

f (x) = \frac{x ^{2} - 9}{x ^{2} + x - 6}

f (x) = - 2 x + 5 - 1

What is the domain of (x^3-9x)/(3x^2-6x-9) ?
The domain of (x^3-9x)/(3x^2-6x-9) is x<-1\lor-1<x<3\lor x>3