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

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

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

domain

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

f (x) = \frac{3}{5 x - 1}

f (x) = lo g_{10} (3 x - 2)

f (x) = 2 ∣ x - 3 ∣ + 1

f (x) = t + 8

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