What is the domain of (x+1)/(x^2-5x+6) ?

The domain of (x+1)/(x^2-5x+6) is x 3

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domain of (x+1)/(x^2-5x+6)

domain

\frac{x + 1}{x ^{2} - 5 x + 6}

x < 2 or 2 < x < 3 or x > 3

Interval Notation

(- \infty, 2) \cup (2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 2

The function domain

x < 2 or 2 < x < 3 or x > 3

f (s) = 2 - \frac{3}{s ^{2}}

f (x) = \frac{x ^{2} - 1}{x - 1}

f (x) = 2 x^{2} + 6

\frac{6 x - 6}{x + 2}

f (x) = \frac{3}{4} x - 5

What is the domain of (x+1)/(x^2-5x+6) ?
The domain of (x+1)/(x^2-5x+6) is x<2\lor 2<x<3\lor x>3