The Background Rendering feature was removed from version 9 because it was causing too many problems in version 8.
The option to turn off the Media Analyzer is in the Elements Organizer program under Edit/Preferences/Media Analyzer.
Thanks for the response. It seems the Elements 9 book I've been using was in error on the Background Rendering issue.
One of the problems with many books, is that the author is usually working from a beta version of the program, and often there are features that get removed, or added, in the release versions. I do not know if this is the case, but it happens all too often, and the authors have no control over how things might change upon release.