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Question Number 208370 by lmcp1203 last updated on 14/Jun/24

$$if\left(fof\right)\left(x\right)=f\left(x\right)+xandf\left(1\right)=1$$$$findfofofofofofofofofof\left(1\right)$$

Commented by A5T last updated on 14/Jun/24

$$f\left(f\left(x\right)\right)=f\left(x\right)+x\Rightarrow f\left(f\left(1\right)\right)=f\left(1\right)+1$$$$\Rightarrow f\left(1\right)=f\left(1\right)+1\Rightarrow 1\stackrel{?}{=}0$$

Commented by mr W last updated on 14/Jun/24

$$f\left(x\right)=1=constant?$$

Commented by lmcp1203 last updated on 14/Jun/24

$$sorry.itsf\left(1\right)=1$$

Answered by MM42 last updated on 14/Jun/24

$$★$$$$\left(fof\right)\left(1\right)=f\left(f\left(1\right)\right)=f\left(1\right)=1$$$$\ne f\left(1\right)+1?!!!$$$$$$

Commented by lmcp1203 last updated on 14/Jun/24

$$thisproblemiswrong.thanks$$

Answered by mathzup last updated on 14/Jun/24

$$oooooof....$$

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