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

The domain of (x^2+3x)/(x(x+4)) is x 0

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

domain

\frac{x ^{2} + 3 x}{x ( x + 4 )}

x < - 4 or - 4 < x < 0 or x > 0

Interval Notation

(- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4

The function domain

x < - 4 or - 4 < x < 0 or x > 0

sin (4 x)

f (x) = 1 - 1 - x

\frac{1}{3} x^{3} + 2 x^{2} - 1

- x^{2} - 2 x + 3

f (x) = 3 x^{3}

What is the domain of (x^2+3x)/(x(x+4)) ?
The domain of (x^2+3x)/(x(x+4)) is x<-4\lor-4<x<0\lor x>0