What is the domain of (x^2-16)/(x^3+5x^2+6x) ?

The domain of (x^2-16)/(x^3+5x^2+6x) is x 0

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domain of (x^2-16)/(x^3+5x^2+6x)

domain

\frac{x ^{2} - 16}{x ^{3} + 5 x ^{2} + 6 x}

x < - 3 or - 3 < x < - 2 or - 2 < x < 0 or x > 0

Interval Notation

(- \infty, - 3) \cup (- 3, - 2) \cup (- 2, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2, x = - 3

The function domain

x < - 3 or - 3 < x < - 2 or - 2 < x < 0 or x > 0

f (x) = ln (9 - 4 x)

f (x) = (x + 2)^{2} + (y - 5)^{2} = 16

f (x) = \frac{x - 3}{x ^{3} - 27}

arcsin (\frac{x}{x - 1})

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

What is the domain of (x^2-16)/(x^3+5x^2+6x) ?
The domain of (x^2-16)/(x^3+5x^2+6x) is x<-3\lor-3<x<-2\lor-2<x<0\lor x>0