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) = 5 - 4 x + x - 2

f (x) = \frac{x + 3}{x ^{2} + x - 6}

y = (x - 1)^{2} (4 - x)

ln (1 + 27 x^{3})

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

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