Most people would say, "what am I to be afraid of". There is a rule that you should not end a sentence with a preposition (of), in which case, your construct is correct. However it sounds rather formal and perhaps pompous to some ears.
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UltimatePedantThere is a rule...You should have said, "There is a grammar myth..."
Germany EnglandWhen there is this type of danger,of what am I to be afraid ?of what am I to be afraid? ~ what am I to be afraid of? ~ what am I supposed to be afraid of? ~ what should I be afraid of?
I want to ask about "of what am I to be afraid '
Germany EnglandIf i say " what I am afraid of " what's difference ?I am is the statement form, the assertive form, the declarative form, whichever you want to call it.