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If f(x) = x/(sqrt(1+x^2) then fofof(x)...

If `f(x) = x/(sqrt(1+x^2)` then `fofof(x)`

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`fofof` `(x)=f o f(frac{x}{sqrt{1+x^{2}}})`

`=f(frac{frac{x}{sqrt{1+x^{2}}}}{sqrt{1+frac{x^{2}}{1+x^{2}}}})`

`=f(frac{x}{sqrt{1+2 x^{2}}})`

`=(frac{frac{x}{sqrt{1+2 x^{2}}}}{sqrt{1+frac{x^{2}}{1+2 x^{2}}}})`

`=frac{x}{sqrt{1+3 x^{2}}}`

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