What is the domain of f(x)=(x^3-4x^2+3x)/(x^2-5x+4) ?

The domain of f(x)=(x^3-4x^2+3x)/(x^2-5x+4) is x 4

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domain of f(x)=(x^3-4x^2+3x)/(x^2-5x+4)

domain

x < 1 or 1 < x < 4 or x > 4

Interval Notation

(- \infty, 1) \cup (1, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = 1

The function domain

x < 1 or 1 < x < 4 or x > 4

What is the domain of f(x)=(x^3-4x^2+3x)/(x^2-5x+4) ?
The domain of f(x)=(x^3-4x^2+3x)/(x^2-5x+4) is x<1\lor 1<x<4\lor x>4