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

y = - 5 x + 2, (1, - 3)

f (x) = (x + 2)^{2} - 3

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

y + 1 = 6 (x - 3)

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

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