What is the domain of (x^2-7x+10)/(x^2-5x+6) ?

The domain of (x^2-7x+10)/(x^2-5x+6) is x 3

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domain of (x^2-7x+10)/(x^2-5x+6)

domain

\frac{x ^{2} - 7 x + 10}{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) = - 4 cos (2 x)

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

f (x) = - \frac{3 x}{x ^{2} - 9 x}

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

\frac{1}{4 - 2 - x}

What is the domain of (x^2-7x+10)/(x^2-5x+6) ?
The domain of (x^2-7x+10)/(x^2-5x+6) is x<2\lor 2<x<3\lor x>3