What is the domain of f(x)=(x^2-3x+2)/(x^2-4) ?

The domain of f(x)=(x^2-3x+2)/(x^2-4) is x 2

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domain of f(x)=(x^2-3x+2)/(x^2-4)

domain

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

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

y = 1 - 2 x

f (x) = \frac{( - 2 ( x ^{2} - 1 ) )}{( x ^{2} - 4 )}

f (x) = e^{z} + 4 x^{2} + 9 y^{2} = 1

f (x) = \frac{3 x ^{2} - 2 x - 8}{x ^{2} + 3 x - 10}

What is the domain of f(x)=(x^2-3x+2)/(x^2-4) ?
The domain of f(x)=(x^2-3x+2)/(x^2-4) is x<-2\lor-2<x<2\lor x>2