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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∈Ror 2y=2-2xor y=log22-2xTherefore, function is defined only when 2-2x>0 or 2x<2or x<1.

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The domain of definition of the function fx 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