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

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

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

domain

f (x) = \frac{x}{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

f (x) = x^{2} + 8 x - 9

f (x) = \frac{6 x}{x ^{2} - 14 x + 45}

(x - 9) (x^{2} - 18 x - 162)

2 x^{2} + 5 x - 12

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

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