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

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

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

domain

\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

f (x) = x 4 - x^{2}

g (x) = \frac{6 x ^{2} + x - 5}{3 x ^{2} - 7 x - 20}

y = ∣ x ∣ - x

800 - 2 x

3 (9 - x^{2}) - 1

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