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Let f be a non zero continuous function satisfying f(x+y) = f(x).f(y) for all x, y $ \epsilon$ R. If f(2) = 9 then find the value of f(3).

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Ans : $ f(2) = f(1+1)=f(1).f(1)$
$ \Rightarrow f(1)=3$
$ f(3) = f(2+1)=f(2).f(1)$
$ = 27$

 

answered Mar 12, 2013 by thanvigandhi_1
edited Mar 26, 2013 by thanvigandhi_1
 

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