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

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

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

domain

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

y = \frac{x ^{2}}{x + 3}

y = (25 - 4 x^{2}) + 4

\frac{9}{3 x - 1}

10 x + 3

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