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Question Number 133903 by shaker last updated on 25/Feb/21

Commented by mr W last updated on 25/Feb/21

$$whatdomeanwithargth\left(x\right)?isit$$$$thesameasarctanh\left(x\right)inyour$$$$country?$$

Commented by mr W last updated on 25/Feb/21

$$sayu=\tanh \left(x\right)$$$$\Rightarrow x=arc\tanh \left(u\right)thisisdefinition$$$$i.e.$$$$\Rightarrow x=arc\tanh \left(\tanh \left(x\right)\right)$$$$$$$$forthesamereason$$$$\tanh \left(arc\tanh \left(x\right)\right)=x$$

Commented by mr W last updated on 25/Feb/21

$$generally\left(andusually\right)$$$$f^{-1}\left(f\left(x\right)\right)=x$$$$f\left(f^{-1}\left(x\right)\right)=x$$

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