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  • Find the domain of single valued function y=f(x) given by the equation 10^x +10^y =10

Find the domain of single valued function y=f(x) given by the equation 10^x +10^y =10

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Solution:   We have ,     10^y=10-10^x

   Rightarrow                  y=log_10(10-10^x)

Now , It is defined if ,

                      10-10^x> 0Rightarrow 1> x

Hence Domain of y=f(x) is  x< 1

                           xin (-infty,1).

Posted by

Deependra Verma

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