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

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

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

domain

f (x) = \frac{x ^{3}}{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

4 x^{2} - 72

\frac{x ^{2} - 5 x + 2}{x ^{2} + 1}

- x - 8

f (x) = \frac{6 + x}{- 8 + 3 x}

\frac{10 x}{3 x ^{2} + 8}

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