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

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

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

domain

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

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

2 5^{x - 4} + 4

y = (x + 1)^{2} - 2

2 x^{2} - 8 x + 8

f (x) = \frac{( x + a )}{x} - a

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