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

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

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Solution:      2^y=2-2^x

                 Taking log of both sides to the base 2 , we get

                    y=log_2(2-2^x)         .............(1)

                  y   is well  defined if   2-2^x> 0

                herefore                 D(f)=-infty < x< 1

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Deependra Verma

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