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

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Q. The domain of definition of the function, $y(x)$ given by the equation, $2^x+2^y=2$ is

Relations and Functions - Part 2

Solution:

$2^x+2^y=2$
$2^y=2-2^x $
$y=\log _2(2-2 x) $
$\text { or } y=\log _2\left(2-2^x\right) $
$ 2-2^x >0 $
$ x< 1$