# Does "FindRoot" work with numerical functions?

GROUPS:
 I have a problem with FindRoot, I want to find the root of a function but it consist of two parts, an analytical function and a numerical function, for example: imagine I have f1(x)= x that's my analytical function but the other one it doesn't depends on a variable it just print me a number when I call it, if I do f2(1.2)=5.6 for say something, but i can not do f2(x) that is not how is built my second function, it doesn't have a known shape because is quite complicated so is a numerical approach.The thing is I want to solve this two equations for Liquid-Vapor equilibrium, there are 2 equations and this two depend on two functions, one analytic ant the other numeric, as I explained before, I don't show how they depend because the code is large and complicated, but in the document I attached, you can see in a good way what I want to solve. p[ T, \[Rho]V] == p[ T, \[Rho]L], \[Beta]\[Mu][ T, \[Rho]V] == \[Beta]\[Mu][ T, \[Rho]L] Thank you and I hope you understood my problem. Attachments: