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

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

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

domain

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

y x^{2} - 4 y - x^{2} = 0

f (x) = x^{4} - x^{3} - 6 x^{2}

y = 5 - 3 x

f (x) = \frac{x}{x ^{2} + 2 x - 8}

f (x) = \frac{20 - 4 x}{2}

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