1.
Directions for the next 2 questions:For real numbers x, y, letf(x, y) = Positive square-root of (x + y), if $$(x + y)^{0.5}$$ is real
f(x, y) = $$(x + y)^2$$; otherwiseg(x, y) = $$(x + y)^2$$, if $$\sqrt{(x + y)}$$ is real
g(x, y) = $$- (x + y)$$ otherwiseWhich of the following expressions yields a positive value for every pair of non-zero real numbers (x, y)?
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By: anil on 05 May 2019 02.30 am
f(x,y) is always non-negative because $$(x+y)^2$$ is always positive g(x, y) = $$(x + y)^2$$, if $$sqrt{(x + y)}$$ is real = Always positive
g(x, y) = $$- (x + y)$$ otherwise = Always positive because this happen when (x+y)
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g(x, y) = $$- (x + y)$$ otherwise = Always positive because this happen when (x+y)