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Question Number 201547 by Calculusboy last updated on 08/Dec/23

Answered by mr W last updated on 08/Dec/23

$$lett=\sqrt{x^2+2}+x$$$$(\sqrt{x^2+2}-x)t=(\sqrt{x^2+2}-x)(\sqrt{x^2+2}+x)=2$$$$\Rightarrow \sqrt{x^2+2}-x=\frac{2}{t}$$$$f(\sqrt{x^2+2}+x)=\sqrt{x^2+2}-x$$$$\equiv f\left(t\right)=\frac{2}{t}$$$$f\left(\frac{1}{2}\right)\times f\left(\frac{1}{47}\right)=2\times 2\times 2\times 47=376✓$$

Commented by Calculusboy last updated on 08/Dec/23

$$\mathit{t}\mathit{h}\mathit{a}\mathit{n}\mathit{k}\mathit{s}\mathit{s}\mathit{i}\mathit{r}$$

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