What is the domain of ((5x+4))/((x^{(2))+3x+2)} ?

The domain of ((5x+4))/((x^{(2))+3x+2)} is x -1

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domain of ((5x+4))/((x^{(2))+3x+2)}

domain

\frac{( 5 x + 4 )}{( 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) = x^{2} + \frac{250}{x}

f (x) = x^{2} + 6 x - 8

f (x) = sin^{2} (x)

y = \frac{1}{4} x

x^{2} - 4 x + 3

What is the domain of ((5x+4))/((x^{(2))+3x+2)} ?
The domain of ((5x+4))/((x^{(2))+3x+2)} is x<-2\lor-2<x<-1\lor x>-1