Embedding HTML Code in the Tiny MCE editor

Is it possible to put hyperlinks into the Tiny MCE editor. We have noticed the link icon that should allow us to do this, however, when we add the links in, they do not show up.

Do you have the HtmlPurifier plugin installed? And if so, have you set it to filter data from the administrative panel? This would remove many HTML tags from any form field you enter, causing the problem. If this is the case, just configure the plugin to disable it.