What is the domain of (x^2-2)/(x^2-4) ?

The domain of (x^2-2)/(x^2-4) is x 2

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domain of (x^2-2)/(x^2-4)

domain

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

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

ln (e^{x} - 8) + 5

f (x) = \frac{5 t + 1}{t ^{3} - t ^{2} - 8 t}

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

f (x) = lo g_{10} (x + 2) - 1

lo g_{3} (x - 6)

What is the domain of (x^2-2)/(x^2-4) ?
The domain of (x^2-2)/(x^2-4) is x<-2\lor-2<x<2\lor x>2