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

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

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

domain

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

x < 1 or 1 < x < 3 or x > 3

Interval Notation

(- \infty, 1) \cup (1, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 1

The function domain

x < 1 or 1 < x < 3 or x > 3

f (x) = x e^{x}

f (x) = - x^{4} - 5 x^{3} + 7 x - 3

sin (x)

f (x) = 5 (x^{2} - 1)

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