What is the domain of (12)/(|x|-3) ?

The domain of (12)/(|x|-3) is x 3

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domain of (12)/(|x|-3)

domain

\frac{12}{∣ x ∣ - 3}

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

- 4 x - 12

\frac{x + 5}{x ^{2} - 4}

3 - 5 x

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

arccos (x - 2) + π

What is the domain of (12)/(|x|-3) ?
The domain of (12)/(|x|-3) is x<-3\lor-3<x<3\lor x>3