What is the domain of (6/x)/(6/x+3) ?

The domain of (6/x)/(6/x+3) is x 0

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domain of (6/x)/(6/x+3)

domain

\frac{\frac{6}{x}}{\frac{6}{x} + 3}

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 = - 2, x = 0

The function domain

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

2 - 3 x

f (x) = 4 x - 1 = 3 y + 5

x^{2} + 6 x + 3

f (x) = \frac{2 x + 5}{3}

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

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