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

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

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

domain

y = \frac{2}{∣ x ∣ - 2}

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

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

f (x) = - sin (x - 4) - 5

(- 4, - 7), (- 22, - 87)

f (x) = 3 x^{2} + 7

(2 - 7 x)^{3}

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