What is the domain of 1/(|x^2-7|) ?

The domain of 1/(|x^2-7|) is x sqrt(7)

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domain of 1/(|x^2-7|)

domain

\frac{1}{∣ x ^{2} - 7 ∣}

x < - 7 or - 7 < x < 7 or x > 7

Interval Notation

(- \infty, - 7) \cup (- 7, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = - 7, x = 7

The function domain

x < - 7 or - 7 < x < 7 or x > 7

What is the domain of 1/(|x^2-7|) ?
The domain of 1/(|x^2-7|) is x<-sqrt(7)\lor-sqrt(7)<x<sqrt(7)\lor x>sqrt(7)