What is the domain of (x^3-x)/(3x^2-27) ?

The domain of (x^3-x)/(3x^2-27) is x 3

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domain of (x^3-x)/(3x^2-27)

domain

\frac{x ^{3} - x}{3 x ^{2} - 27}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

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

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

(7)^{x}

f (x) = \frac{( x + 18 )}{x - 17}

f (x) = 3 - 9 x^{3}

3 x^{3} - x - 3

What is the domain of (x^3-x)/(3x^2-27) ?
The domain of (x^3-x)/(3x^2-27) is x<-3\lor-3<x<3\lor x>3