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f(x,y)= ((x+((y))))
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\[\sqrt{x+\sqrt{y}}\]
what is the question?
what is the domain... f(x,y)=\[\sqrt{x+\sqrt{y}}\]
So when dealing with square roots, you never want the inside to be negative. Looking at the y, because its nestled in a square root by itself, the first thing you want to note is that: \[y \geq 0\]in other words, y has to be 0, or positive, cant be negative. Now, we want: \[x+\sqrt{y} \geq0\] as well, because of that square root on the outside. so that gives: \[x+\sqrt{y} \geq 0 \iff x \geq \sqrt{y} \geq 0\]
i can the solve the exercise, but I'm not sure, besides that I have bad graphed: (
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can you do the graphic?
......
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