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

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

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

domain

f (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

y = \frac{x}{2} - 9, (8, - 7)

\frac{x - 6}{x + 2}

f (x) = \frac{5 x ^{2} + 6}{7 x + 5}

\frac{1}{x ^{2} - 5 x + 6}

f (x) = \frac{2 x + 1}{x ^{2} - 4 x + 3}

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