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

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

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

domain

y = \frac{2 x - 4}{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

f (x) = \frac{x - 1}{ln ( x - 2 )}

y = lo g_{8} (x)

f (x) = - 2 x (x - 2) (x - 7)

f (x) = 6 + ln (x)

f (x) = \frac{x - 3}{x + 7}

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