What is the domain of f(x)=((2x+3))/((x^2+3x+2)) ?

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

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domain of f(x)=((2x+3))/((x^2+3x+2))

domain

f (x) = \frac{( 2 x + 3 )}{( x ^{2} + 3 x + 2 )}

x < - 2 or - 2 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 2) \cup (- 2, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 2

The function domain

x < - 2 or - 2 < x < - 1 or x > - 1

f (x) = \frac{x ^{2} + x - 1}{x ^{2}}

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

\frac{8 x - 24}{x ^{2} - x - 20}

\frac{x ^{2} - 9}{x ^{2} - 16}

g (x) = \frac{5}{3 x - 1}

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