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f-x-y-2-x-x-2-y-what-is-the-domain-of-f-x-y-




Question Number 624 by 123456 last updated on 15/Feb/15
  f(x,y)=(√(2(x+(√(x^2 −y)))))  what is the domain of f(x,y)
f(x,y)=2(x+x2y)whatisthedomainoff(x,y)
Commented by prakash jain last updated on 12/Feb/15
y<x^2                      ...(i)  x+(√(x^2 −y)) ≥0     (√(x^2 −y)) ≥ −x     ...(ii)  From (ii)      x<0 ,y≤0  From  (i)      x≥0, y<x^2
y<x2(i)x+x2y0x2yx(ii)From(ii)x<0,y0From(i)x0,y<x2
Answered by prakash jain last updated on 15/Feb/15
{(x,y)∈R^2 :x^2 ≥y and x+(√(x^2 −y )) ≥0}
{(x,y)R2:x2yandx+x2y0}

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