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

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

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domain of-(x(x-2))/(3x(x+2))

domain

- \frac{x ( x - 2 )}{3 x ( x + 2 )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2

The function domain

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

y = 6 + ln (x)

f (x) = \frac{x + 3}{2 x}

f (x) = \frac{e ^{x}}{1 - e ^{2 x}}

f (x) = \frac{1 - 5 x}{x ^{2} + 4}

4 + ln (x)

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