What is the domain of (5x)/(3x(x+12)) ?

The domain of (5x)/(3x(x+12)) is x 0

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domain of (5x)/(3x(x+12))

domain

\frac{5 x}{3 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) = \frac{1}{2} x

f (x) = \frac{x + 7}{x - 9}

- 6 x

lo g_{3} (x)

f (x) = 1 2^{x}

What is the domain of (5x)/(3x(x+12)) ?
The domain of (5x)/(3x(x+12)) is x<-12\lor-12<x<0\lor x>0