What is the domain of (x^4)/(x^2+x-6) ?

The domain of (x^4)/(x^2+x-6) is x 2

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domain of (x^4)/(x^2+x-6)

domain

\frac{x ^{4}}{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) = 5 x

f (x) = \frac{( x - 2 ) ^{2}}{( x - 2 )}

- \frac{1}{2 4 - x}

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

cot (x)

What is the domain of (x^4)/(x^2+x-6) ?
The domain of (x^4)/(x^2+x-6) is x<-3\lor-3<x<2\lor x>2