What is the domain of f(x)= 2/x+4/(x+4) ?

The domain of f(x)= 2/x+4/(x+4) is x 0

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domain of f(x)= 2/x+4/(x+4)

domain

f (x) = \frac{2}{x} + \frac{4}{x + 4}

x < - 4 or - 4 < x < 0 or x > 0

Interval Notation

(- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4

The function domain

x < - 4 or - 4 < x < 0 or x > 0

7 y = 13

2 y - 12 x = - 14

f (x) = 1 - 3 x

f (x) = 4 x + 3

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

What is the domain of f(x)= 2/x+4/(x+4) ?
The domain of f(x)= 2/x+4/(x+4) is x<-4\lor-4<x<0\lor x>0