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Grade 12Algebra

f(x).f(y)=f(x+y)

find f(x)

Brown sam

12 Years agoGrade 12

1 Answer

Arun Kumar

12 Years ago

Hello Student,

$\\f(x)f(y)=f(x+y) \\=>f'(x)f(y)=f'(x+y)---eq1 \\y=0 \\=>f(0)=1 \\=>f(x)f(-x)=1----eq2 \\$from 1 and 2$ \\f(x)=e^x$

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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