RewriteEngine On
RewriteBase /home
RewriteRule ^()$ index.php [NC,L]
Rewritecond %{REQUEST_URI} !(^/?.*\..*$) [NC]
RewriteRule (.*)$ $1.php [NC]

I recieve a css problem (blank) after i visit http://dot.com/home/index.php/

Activating the logging might help. Just add these directives towards the .htaccess file:

RewriteLog "/foo/bar.log" 
RewriteLogLevel 3

Make certain to show them off when done, as they possibly can decelerate your server.