If and , where , then the value of…

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

If

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

and

\sum_{x=1}^{\infty}f(x)=2

, where

x,y\in\mathbb{N}

, then the value of

\dfrac{f(4)}{f(2)}

is (a)

\dfrac{1}{9}

(b)

\dfrac{4}{9}

(c)

\dfrac{1}{3}

(d)

\dfrac{2}{3}

Related theory

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