Prepositions are defined as the words that are employed to link a noun or pronoun to the other elements of the sentence. It primarily functions to form the prepositional phrases(consisting of a preposition plus a noun and its modifier) which act as adjectival or adverbial phrases to add detail or information to the sentence.
The given blanks can be filled with the preposition 'to' and 'of' to connect the nouns 'the speaker' and 'the listener.''To' indicates the recipient of the action(given) while 'of' signals 'source of reckoning.'
The speaker is implying that there will be unpleasant consequences if one does not study the problem carefully, and they are trying to persuade you to do so to avoid unnecessary consequences.
