What is the domain of g(x)=(3x+|x|)/x ?

The domain of g(x)=(3x+|x|)/x is x 0

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domain of g(x)=(3x+|x|)/x

domain

g (x) = \frac{3 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

f (x) = ln (3 - 8 x)

\frac{x ^{2}}{2 x - 5}

f (x) = \frac{1}{t ^{2} - 1}

arcsin (2 x - 3)

f (x) = 3 arcsin (9 x - 54)

What is the domain of g(x)=(3x+|x|)/x ?
The domain of g(x)=(3x+|x|)/x is x<0\lor x>0