What is the domain of (-x^2+4x-4)/(x^3-3x^2-9x+27) ?

The domain of (-x^2+4x-4)/(x^3-3x^2-9x+27) is x 3

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domain of (-x^2+4x-4)/(x^3-3x^2-9x+27)

domain

\frac{- x ^{2} + 4 x - 4}{x ^{3} - 3 x ^{2} - 9 x + 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

(4, 0), (20, 15)

- 8 x^{2} + 4

f (x) = \frac{x ^{2} + 2 x + 1}{x}

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

What is the domain of (-x^2+4x-4)/(x^3-3x^2-9x+27) ?
The domain of (-x^2+4x-4)/(x^3-3x^2-9x+27) is x<-3\lor-3<x<3\lor x>3