What is the domain of f(x)=((x-1))/((x^2+3x+2)) ?

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

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

domain

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

in v erse \frac{6}{x ^{2} + 1}

p a r a ll e l x + y = 6 x

in t erce pt s f (x) = x^{3} - 6 x^{2} + 9 x

s l o p e in t erce pt 4 x - 8 y = 11

in t erce pt s f (x) = - 2 x + 1

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