What is the domain of (12x+35)/(x(x+7)) ?

The domain of (12x+35)/(x(x+7)) is x 0

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domain of (12x+35)/(x(x+7))

domain

\frac{12 x + 35}{x ( x + 7 )}

x < - 7 or - 7 < x < 0 or x > 0

Interval Notation

(- \infty, - 7) \cup (- 7, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 7

The function domain

x < - 7 or - 7 < x < 0 or x > 0

What is the domain of (12x+35)/(x(x+7)) ?
The domain of (12x+35)/(x(x+7)) is x<-7\lor-7<x<0\lor x>0