What is the domain of f(x)=((x+1))/(x^2-5x+6) ?

The domain of f(x)=((x+1))/(x^2-5x+6) is x 3

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domain of f(x)=((x+1))/(x^2-5x+6)

domain

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

f (x) = (x - 2)^{3} + 8

f (4) = 2 x^{2} + 4 x + 8

f (x) = \frac{( 3 x - 7 )}{x + 1}

(0) (- 1)

What is the domain of f(x)=((x+1))/(x^2-5x+6) ?
The domain of f(x)=((x+1))/(x^2-5x+6) is x<2\lor 2<x<3\lor x>3