What is the domain of (x+4)/(x(x+12)) ?

The domain of (x+4)/(x(x+12)) is x 0

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domain of (x+4)/(x(x+12))

domain

\frac{x + 4}{x ( x + 12 )}

x < - 12 or - 12 < x < 0 or x > 0

Interval Notation

(- \infty, - 12) \cup (- 12, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 12

The function domain

x < - 12 or - 12 < x < 0 or x > 0

f (x) = lo g_{\frac{1}{7}} (x)

g (x) = \frac{3 x + 1}{x + 8}

f (x) = \frac{5 x - 15}{x ^{2} - 9}

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

f (x) = ln (arccos (x))

What is the domain of (x+4)/(x(x+12)) ?
The domain of (x+4)/(x(x+12)) is x<-12\lor-12<x<0\lor x>0