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Ploting a transformation of a set

• To: mathgroup at smc.vnet.net
• Subject: [mg123271] Ploting a transformation of a set
• From: Justin <justin.valasek at gmail.com>
• Date: Wed, 30 Nov 2011 03:19:01 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hello,
I would like to plot the following transformation of the set {x,y; x+y<2 & x>0 & y> 0} => {(x+.5y)^.5, (y+.5x)^.5}.
Is there any way to do this in mathematica?
thanks