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$The domain of definition of the function f (x) given by the equation 2^{x} + 2^{y} = 2 is$

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0≤x≤1

−∞

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Correct option is D

It is given that 2x+2y=2∀x,y∈R or 2y=2−2x or y=log2⁡2−2x Therefore, function is defined only when 2−2x>0 or 2x<2 or x<1 .

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The domain of definition of the function f(x) given by the equation 2x+2y=2 is

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$The domain of definition of the function f (x) given by the equation 2^{x} + 2^{y} = 2 is$