What is the domain of (x^3-16x)/(-3x^2+3x+18) ?

The domain of (x^3-16x)/(-3x^2+3x+18) is x 3

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domain of (x^3-16x)/(-3x^2+3x+18)

domain

\frac{x ^{3} - 16 x}{- 3 x ^{2} + 3 x + 18}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 2, x = 3

The function domain

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

f (x) = x^{4} + 8 x^{2} + 16

f (x) = - e^{x + 7}

(- 3, - 5), (- 0.5, 0)

\frac{( x ^{2} - 5 )}{7 x ^{2}}

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

What is the domain of (x^3-16x)/(-3x^2+3x+18) ?
The domain of (x^3-16x)/(-3x^2+3x+18) is x<-2\lor-2<x<3\lor x>3