What is the domain of (x^2-5x+6)/(x^2-9x+14) ?

The domain of (x^2-5x+6)/(x^2-9x+14) is x 7

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domain of (x^2-5x+6)/(x^2-9x+14)

domain

\frac{x ^{2} - 5 x + 6}{x ^{2} - 9 x + 14}

x < 2 or 2 < x < 7 or x > 7

Interval Notation

(- \infty, 2) \cup (2, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = 2

The function domain

x < 2 or 2 < x < 7 or x > 7

\frac{( 5 x + 2 )}{3 x - 4}

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

5 x + 3

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

\frac{3 x - 5}{x + 6}

What is the domain of (x^2-5x+6)/(x^2-9x+14) ?
The domain of (x^2-5x+6)/(x^2-9x+14) is x<2\lor 2<x<7\lor x>7