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

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

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

domain

f (x) = \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) = e^{6 x - 5}

f (x) = \frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9}

f (x) = 5 x + (5 x - 6)

f (x) = x^{2} + 5 x + 6

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

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