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Question Number 165160 by mathlove last updated on 26/Jan/22

$$f(x+f\left(x\right))=3f\left(x\right)andf(-1)=7$$$$faindf\left(27\right)=?$$

Answered by Rasheed.Sindhi last updated on 26/Jan/22

$$x=-1:f(-1+f(-1))=3f(-1)$$$$f(-1+7)=3\left(7\right)$$$$f\left(6\right)=21$$$$x=6:f(6+f\left(6\right))=3f\left(6\right)$$$$\Rightarrow f(6+21)=3\left(21\right)=63$$$$\Rightarrow f\left(27\right)=63$$

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