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

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

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

domain

f (x) = \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) = - 2 x^{2} + 3 x - 1

+ 6 y - y^{2} - 2

f (x) = 3 - 2 x + 1

72 - x^{2} + x

2 - 3 X

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