What is the domain of f(x)=(2x+1)/(x^2-4x+3) ?

The domain of f(x)=(2x+1)/(x^2-4x+3) is x 3

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domain of f(x)=(2x+1)/(x^2-4x+3)

domain

f (x) = \frac{2 x + 1}{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

\frac{( x - 1 ) ^{2}}{( x - 1 ) ^{2} + 1}

- x + 2

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

10 x + 20 y = 200

(- 7, 3), (5, - 3)

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