With the library's databases, most of the time, the work is done for you: you don't need to work very hard to ascertain if an article you found through ProQuest is trustworthy. If you clicked the "Peer-reviewed" option when searching, you're pretty much all set there.
But, unfortunately, you won't always have access to the library's databases, and in many cases will need to search through the general Internet for answers to life's every day questions.
Luckily you can use the same evaluation tools from the Evaluating Information - College tab and websites and tips on this page to make sure you're getting the answers you need from a trustworthy source.