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

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

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

domain

f (x) = \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 (x) = 1 + 5 lo g_{2} (x - 3)

f (x) = - \frac{6}{11} x

g (x) = \frac{9}{x - 6}

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

\frac{2 x ^{3} + 3}{x ^{3} - 1}

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