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Question Number 171146 by akolade last updated on 08/Jun/22

Commented by cortano1 last updated on 08/Jun/22

$$5f\left(\frac{1}{x}\right)=f\left(x\right)+\sqrt{x}...\left(1\right)$$$$f\left(\frac{1}{x}\right)=5f\left(x\right)-\frac{1}{\sqrt{x}}...\left(2\right)$$$$\left(1\right)-5\left(2\right)$$$$\Rightarrow 0=-24f\left(x\right)+\sqrt{x}+\frac{5}{\sqrt{x}}$$$$\Rightarrow f\left(x\right)=\frac{\sqrt{x}}{24}+\frac{5}{24\sqrt{x}}$$

Commented by SLVR last updated on 10/Jun/22

$$nice$$

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