What is the domain of f(x)=(4/x)+(6/(x+6)) ?

The domain of f(x)=(4/x)+(6/(x+6)) is x 0

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domain of f(x)=(4/x)+(6/(x+6))

domain

f (x) = (\frac{4}{x}) + (\frac{6}{x + 6})

x < - 6 or - 6 < x < 0 or x > 0

Interval Notation

(- \infty, - 6) \cup (- 6, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 6

The function domain

x < - 6 or - 6 < x < 0 or x > 0

What is the domain of f(x)=(4/x)+(6/(x+6)) ?
The domain of f(x)=(4/x)+(6/(x+6)) is x<-6\lor-6<x<0\lor x>0