Let f : R rightarrow R be a continuous functi | vedclass

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Question

$f(x)-f(x / 3)=x / 3$

$f(x / 3)-f\left(x / 3^{2}\right)=x / 3^{2}$

$f(x)-\lim _{n \rightarrow \infty} f\left(\frac{x}{3^{n}}\right)=x\left(\frac

Vedclass · Accepted Answer

$10$

Vedclass · Answer

$f(x)-f(x / 3)=x / 3$

$f(x / 3)-f\left(x / 3^{2}\right)=x / 3^{2}$

$f(x)-\lim _{n \rightarrow \infty} f\left(\frac{x}{3^{n}}\right)=x\left(\frac{1}{3}+\frac{1}{3^{2}} \ldots \infty\right)$

$f(x)-f(0)=\frac{x}{2}$

$f(8)=7 ; f(0)=3$

$f(x)=x / 2+3$

$f(14)=10$

Let $f : R \rightarrow R$ be a continuous function such that $f(3 x)-f(x)=x$. If $f(8)=7$, then $f(14)$ is equal to.

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