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

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

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

domain

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

y = \frac{- 8 x ^{3} x + 2}{ln ( - 3 x + 1 )}

y = \frac{- 2 - 9 x}{x - 7}

lo g_{2} (x + 1) - 2

f (x) = lo g_{x} (1 - e^{1 - x})

\frac{( x ^{2} - 6 x - 55 )}{x ^{2} - 3 x - 28}

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