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

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

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

domain

f (x) = \frac{5}{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) = \frac{1}{lo g _{10} ( x ^{2} + 10 x + 25 )}

f (x) = \frac{( x + 3 )}{( x - 4 )}

f (x) = - - x + 3

f (x) = 4 x^{3} - 24 x^{2} + 200 x

f (x) = 3 x - 6

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