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

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

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

domain

f (x) = \frac{5 - x}{x ^{2} + 5 x + 6}

x < - 3 or - 3 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 3) \cup (- 3, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 3

The function domain

x < - 3 or - 3 < x < - 2 or x > - 2

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