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

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

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domain of f(x)=((x+|x|))/x

domain

f (x) = \frac{( x + ∣ x ∣ )}{x}

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

\frac{4 x - ln ( 3 x )}{x}

f (x) = \frac{- 2}{x - 5}

f (x) = 3 + x + 3 - x

f (x) = cos (cos (x))

f (x) = - 4^{x} + 5

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