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How to extract functions from a list and call them with any argument?


I have a list of functions, i.e.,

funclist = {Sin[x], x^3, Cos[x]^2}.

I can extract each of the functions, like

In[1]:=funclist[[1]]
Out[1]=Sin[x]

, but I don't know how to call these functions with a general argument.
If I type

In[2]:=funclist[t][[1]]

, I get

Out[2]=t

instead of Sin[t] (or t^3 or Cos[t]^2)

What I would like is to extract a function from the list and to call it
with any argument, as it was defined in a standard way:
f[x_]:=Sin[x].

Dom


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