In the following sentence, the part of speech that the word after is "Subordinating conjunction".
A word or phrase that connects a dependent sentence to an independent clause is known as a subordinating conjunction.
"After" indicates "subsequently to the time when". In the sentence, the clause "Please let me pet your dog" is an independent clause that is linked to a dependent clause that is "you've given him a bath" using the word "after", a subordinating conjunction, which is indicating at a specific time.
Thus, the correct option is B.
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