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

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

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

domain

y = \frac{( x ^{2} - 2 x )}{( 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

x^{3} - 2 x^{2} + 2

f (x) = \frac{6 x - 9}{11 x + 5}

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

f (x) = x^{2} + 9, x \leq 0

ln (x^{2} - 1)

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