Getting HTTP 404 error when trying to access WEB API function on server

Hello, 

I have an ASP.NET Core project/website that is using .NET Framework 4.6.1.  This particular website is accessing data through the Web API controller onto a REST service.  When this application is run locally, everything works fine.  However, when the website is deployed to the server, I'm running into a 404 error when trying to access service functionality.  Aside from just doing a copy of files from a File Deploy over to the server, is there any other sort of special set up involved in connecting a website to a web api service on a server?  (The website and service happen to be on two separate servers).

Thanks!