Considering the word "videography", which of the following is correct: "video-friggin`-graphy" or "vide-friggin'-ography" ?

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This phenomenon is referred to as expletive infixation: (en.wikipedia.org/wiki/Expletive_infixation)

There is some debate about the details, but the standard account is that the expletive is inserted before the primary stressed syllable. If you pronounce to yourself the word in question, you'll see that it's the syllable "-o-":

vi-de-O-gra-phy

Thus, any expletives would be inserted before that syllable, i.e.:

vide-__-ography.