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Question Number 186769 by naka3546 last updated on 10/Feb/23

$$\mathrm{Given}\mathrm{function}f:\mathbb{R}\to \mathbb{R}\mathrm{satisfy}\mathrm{that}$$$$(f\circ f)\left(x\right)+x=(x+1)f\left(x\right).$$$$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}f\left(1\right).$$

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