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

Romio , 10 Years ago
Grade 10
anser 2 Answers
Arun Kumar

Last Activity: 10 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 & 2$ \\f(x)=e^x

Arun Kumar

Last Activity: 10 Years ago

\\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 & 2$ \\f(x)=e^x

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