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

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

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domain of f(x)=(|x-2|+|x+2|)/x

domain

f (x) = \frac{∣ x - 2 ∣ + ∣ x + 2 ∣}{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

(6.2) (10.4)

f (x) = \frac{3}{x + 1}

(2, - 9), (4, 1)

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

f (x) = \frac{3 x - 4}{x ^{2} - 7 x + 12}

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