What is the domain of ((3x^3-x^2-27x+9))/(x^2+4x+3) ?

The domain of ((3x^3-x^2-27x+9))/(x^2+4x+3) is x -1

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domain of ((3x^3-x^2-27x+9))/(x^2+4x+3)

domain

\frac{( 3 x ^{3} - x ^{2} - 27 x + 9 )}{x ^{2} + 4 x + 3}

x < - 3 or - 3 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 3) \cup (- 3, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 3

The function domain

x < - 3 or - 3 < x < - 1 or x > - 1

f (x) = 16 - x^{2}

x - y = - 1

f (x) = 1 0^{\frac{x}{2}}

f (x) = lo g_{7} (x)

(7.4) (13.19)

What is the domain of ((3x^3-x^2-27x+9))/(x^2+4x+3) ?
The domain of ((3x^3-x^2-27x+9))/(x^2+4x+3) is x<-3\lor-3<x<-1\lor x>-1