What is the domain of f(x)= 9/(x^3+5x^2-4x-20) ?

The domain of f(x)= 9/(x^3+5x^2-4x-20) is x 2

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domain of f(x)= 9/(x^3+5x^2-4x-20)

domain

f (x) = \frac{9}{x ^{3} + 5 x ^{2} - 4 x - 20}

x < - 5 or - 5 < x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 5) \cup (- 5, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 5, x = - 2, x = 2

The function domain

x < - 5 or - 5 < x < - 2 or - 2 < x < 2 or x > 2

f (x) = \frac{1}{1 - x}

f (x) = x^{3} + 1

f (x) = e^{x - 2} + 4

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

2 + \frac{2 a ^{3}}{x ^{3}}

What is the domain of f(x)= 9/(x^3+5x^2-4x-20) ?
The domain of f(x)= 9/(x^3+5x^2-4x-20) is x<-5\lor-5<x<-2\lor-2<x<2\lor x>2