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

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

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

domain

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

(2, 1), (5, 7)

m = \infty, (3, 2)

f (x) = \frac{4}{5} x - 4

y = 2 x - 3 (- 6.5)

f (x) = \frac{5}{4} x - \frac{5}{2}

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