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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).

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

edited Mar 26, 2013