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

The domain of f(x)=(x^2-9x+14)/(x^2-5x+6) is x 3

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

domain

f (x) = \frac{x ^{2} - 9 x + 14}{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) = x^{2} - 3 x + 5

\frac{x - 1}{( x + 2 ) ( x - 3 )}

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

(x - 3) e^{x} + 3

y = \frac{1}{1 - x ^{2}}

What is the domain of f(x)=(x^2-9x+14)/(x^2-5x+6) ?
The domain of f(x)=(x^2-9x+14)/(x^2-5x+6) is x<2\lor 2<x<3\lor x>3