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- Apr 29th 2010, 07:59 PM #1

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## g(x,y)=f(x,y) for all (x,y)

f(x,y)=(x)/ (1-y2), y does not equal 1 or -1

Is it possible to define a new function g(x,y) that is defined and continuous for all (x,y) in R2, and such that g(x,y)=f(x,y) for all (x,y) in the domain of f? If so, find such a function. If not, explain why.

I really don't know where to begin...

- Apr 29th 2010, 08:16 PM #2

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- Apr 29th 2010, 08:24 PM #3

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