find the domain

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• Aug 27th 2008, 01:09 PM
sjenkins
find the domain
Can someone tell me if I am right with this answer:

Find the domain of the function f(x)=x^4/(x^2+x-6)

I think it should be "all x not equal to 2 or -3" because that would make the denominator 0...is this right?
• Aug 27th 2008, 01:14 PM
Moo
Quote:

Originally Posted by sjenkins
Can someone tell me if I am right with this answer:

Find the domain of the function f(x)=x^4/(x^2+x-6)

I think it should be "all x not equal to 2 or -3" because that would make the denominator 0...is this right?

Yes.

This can be written $\mathbb{R} \backslash \{-3,~2\}$ or $(-\infty,~-3) \cup (-3,~2) \cup (2,~+\infty)$
• Aug 27th 2008, 01:26 PM
sjenkins
Yeah! Finally I got one right! Thanks for your help!!!!(Clapping)