Question: change the arguments of functions

Anyone know a slick way to change the arguments of a function to possibly different things depending on what they are?


Let's say I have objects a, b and c.  a and b are of type function and c is of type set.  F is another function object.


F(a,b,c) is defined.


What I want to do is construct F(g(a),g(b), h(c)).....



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