What is the domain of f(x)=(12x+35)/(x^2+7x) ?

The domain of f(x)=(12x+35)/(x^2+7x) is x 0

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domain of f(x)=(12x+35)/(x^2+7x)

domain

f (x) = \frac{12 x + 35}{x ^{2} + 7 x}

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 f(x)=(12x+35)/(x^2+7x) ?
The domain of f(x)=(12x+35)/(x^2+7x) is x<-7\lor-7<x<0\lor x>0