What is the domain of f(x)=(10x+25)/(x^2-3x+2) ?

The domain of f(x)=(10x+25)/(x^2-3x+2) is x 2

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domain of f(x)=(10x+25)/(x^2-3x+2)

domain

f (x) = \frac{10 x + 25}{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

What is the domain of f(x)=(10x+25)/(x^2-3x+2) ?
The domain of f(x)=(10x+25)/(x^2-3x+2) is x<1\lor 1<x<2\lor x>2