What is the domain of (x^3+3x^2-4x)/(-4x^2-4x+24) ?

The domain of (x^3+3x^2-4x)/(-4x^2-4x+24) is x 2

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domain of (x^3+3x^2-4x)/(-4x^2-4x+24)

domain

\frac{x ^{3} + 3 x ^{2} - 4 x}{- 4 x ^{2} - 4 x + 24}

x < - 3 or - 3 < x < 2 or x > 2

Interval Notation

(- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = 2

The function domain

x < - 3 or - 3 < x < 2 or x > 2

f (x) = \frac{2 x - 7}{4 x + 6}

f (x) = \frac{( 5 x ^{3} - 4 )}{x ^{2} + 2 x - 15}

f (x) = \frac{2}{x - 1} + 3

ln (\frac{x ^{2} + 1 - 1}{x})

f (x) = lo g_{9} (x - 6)

What is the domain of (x^3+3x^2-4x)/(-4x^2-4x+24) ?
The domain of (x^3+3x^2-4x)/(-4x^2-4x+24) is x<-3\lor-3<x<2\lor x>2