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A question about function


Hi all,
      I have a small question which bother me for a while.
      For a  variable i(for any data type), I want to define a function
      like
      g[i_]:={a[i],b[i],c[i],d[i]....} .
      (g,a,b,c,d,...are all functions or command)

      for example
      g[i]:={Max[i],Min[i]}

      Is it possible to  gather the list of  function like
      g[i_]:={a,b,c,d,..}[i] in Mathematica?

     It is convenient to have a list of testing different functions.

                                                      Regards,
                                                      Feng-Yin Chang


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