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Sets, Relations and Functions

If $f $ is a real values function satisfying $f(x+y)=f(x)\;f(y) $ and $f(1)=a$ where $x,y\in R$, then $ f(x)=$

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(A) $x^a$

(B) $a^{2x}$

(C) $a^{x/2}$

(D) $a^x$

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Sets, Relations and Functions practice questions for JEE

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