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## Main Question or Discussion Point

in one dimension one have that for a function [tex] f(x) [/tex] we can define another function [tex] g(x) [/tex] so [tex] f(g(x)=x [/tex]

my question or problem is the following, if i have a function of three variables [tex] f(x,y,z) [/tex] then i can define another function [tex] g(x,y,z) [/tex] so [tex] f(g(x,y,z))=Id [/tex]

for example for the function [tex] f(x,y,z)= xyz [/tex] what would be its inverse g??

my question or problem is the following, if i have a function of three variables [tex] f(x,y,z) [/tex] then i can define another function [tex] g(x,y,z) [/tex] so [tex] f(g(x,y,z))=Id [/tex]

for example for the function [tex] f(x,y,z)= xyz [/tex] what would be its inverse g??