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

Answers (1)

Solution: we have ,

\ 2^y=2-2^x

taking log of both side to the base 2 , we get

\ y=log (2-2^x)

y is well defined if \ (2-2^x)> 0

\ 2^x< 2Rightarrow x< 1\ \Rightarrow 	herefore D(f)=-infty < x< 1

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