What is the domain of (x^3+2x^2+x)/(x^2+x-6) ?

The domain of (x^3+2x^2+x)/(x^2+x-6) is x 2

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domain of (x^3+2x^2+x)/(x^2+x-6)

domain

\frac{x ^{3} + 2 x ^{2} + x}{x ^{2} + x - 6}

x < - 3 or - 3 < x < 2 or x > 2

Interval Notation

(- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 3

The function domain

x < - 3 or - 3 < x < 2 or x > 2

f (x) = (x - 2) 2 - 4

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

\frac{1}{ln ( ( x - 1 ) ^{2} ) - 1}

f (x) = \frac{4}{x + 1} + 5

What is the domain of (x^3+2x^2+x)/(x^2+x-6) ?
The domain of (x^3+2x^2+x)/(x^2+x-6) is x<-3\lor-3<x<2\lor x>2