The most common misuse of COMPRISE is that people substitute it for IS COMPOSED OF, which is incorrect. COMPRISE means CONSITUTES. The key to using COMPRISE correctly is to test the sentence by substituting the word CONSTITUES for COMPRISE. If that word sound correct, then you've used COMPRISE correctly. Typically, a sentence that uses IS COMPOSED OF will be the reverse of a sentence that uses COMPRISE. Below are sentences to illustrate correct usage for each word.
COMPRISE: Research, MLA guidelines, and structure comprise first-year college writing.
COMPOSE: First-year college writing is composed of research, MLA guidelines, and structure.