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Let \(f\) be the function defined by:$$ f(x) = \sqrt{\dfrac{1}{1+x}} $$
  1. Give the composition scheme of the function \(f\).
  2. Determine the domain of definition of the function \(f\), denoted \(D_f\).
  3. Study \(u : x \mapsto \dfrac{1}{1+x}\) and construct its table of variations on \(D_f\).
  4. Deduce the table of variations of \(f\).

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