doman restrictions help

[nikkiNEEDShelp]

This is the simplified rational expression:
_ x-y
(x+y)(x^2+y^2)

What are the domain restrictions and how do I figure them out?? Please help, I need a refresher.[/tex][/list][/code][/quote]

 

[stapel]

I'm not sure what the function is, but the domain will be all allowable x-values. So figure out which x-values (or y-values, in this case) would cause a division-by-zero problem, and then the domain will be everything else.

Eliz.

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[nikkiNEEDShelp]

Thanks, sorry for the typing.

the question was State the domain restrictions:
would that mean that D:x can not equat -y,yi,-yi
[/b]

 

[stapel]

Does the domain include complex numbers? Is this a complex-valued function?

Eliz.

 

[soroban]

Hello, nikkiNEEDShelp!

\(\displaystyle \L f(x,y)\:=\:\frac{x\,-y}{(x\,+\,y)(x^2\,+y^2)}\)
State the domain restrictions.

Would that mean that \(\displaystyle x\,\neq\,\)-\(\displaystyle y,\,yi,\,\)-\(\displaystyle yi\)

If you are dealing with <u>all</u> values (including complex numbers), you are correct.