Does Simple Injector supports MVC 4 ASP.NET Web API?

I am new to Simple Injector IOC container. I will start working in a project which will require a Multi-tenant ASP.NET MVC implementation using MVC 4 ASP.NET Web API.

My question is: Does Simple injector support MVC 4 ASP.NET Web API? Reading simple injector documentation like this makes references to MVC 3 and I would like to know if MVC 4 also is supported.