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

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

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

domain

f (x) = \frac{x ^{2} - 4}{x ^{2} - 3 x + 2}

x < 1 or 1 < x < 2 or x > 2

Interval Notation

(- \infty, 1) \cup (1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 1

The function domain

x < 1 or 1 < x < 2 or x > 2

f (x) = 2 x + 10

x = - 2

x^{2} + 3 x + 1

f (x) = x^{2} + 2 x - 8

What is the domain of f(x)=(x^2-4)/(x^2-3x+2) ?
The domain of f(x)=(x^2-4)/(x^2-3x+2) is x<1\lor 1<x<2\lor x>2