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

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

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

domain

f (x) = \frac{x ^{2} + 3 x + 5}{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

ln (3 x - 2)

\frac{x ^{2} - 8 x - 9}{2 x ^{2} - x - 10}

y = \frac{6}{3 - x}

f (x) = \frac{7}{16 - x ^{2}}

f (x) = - 2 x^{2} - 4 + ln (- 5 - 2 x)

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