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

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(0,1]

[0,1]

$(- \infty, 0]$

$(- \infty, 1)$

answer is D.

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Detailed Solution

$2^{y} = 2 - 2^{x} y = \log_{2} (2 - 2^{x}) y is defined if 2 - 2^{x} > 0 \Rightarrow x < 1$

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