What is the domain of f(x)=(x^3)/(x^2-4x-96) ?

The domain of f(x)=(x^3)/(x^2-4x-96) is x 12

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domain of f(x)=(x^3)/(x^2-4x-96)

domain

f (x) = \frac{x ^{3}}{x ^{2} - 4 x - 96}

x < - 8 or - 8 < x < 12 or x > 12

Interval Notation

(- \infty, - 8) \cup (- 8, 12) \cup (12, \infty)

Solution steps

Find undefined (singularity) points:

x = 12, x = - 8

The function domain

x < - 8 or - 8 < x < 12 or x > 12

What is the domain of f(x)=(x^3)/(x^2-4x-96) ?
The domain of f(x)=(x^3)/(x^2-4x-96) is x<-8\lor-8<x<12\lor x>12