Question: please solve clearly and concisely 4. (8 pts) Show that the function f(x) = - + 5 cos(x) + 7 must attain the value y

please solve clearly and concisely

please solve clearly and concisely 4. (8 pts)
4. (8 pts) Show that the function f(x) = - + 5 cos(x) + 7 must attain the value y = 4 at least once on the interval [7, 37]. Justify your answer using a theorem from class, and give the explicit conclusion of the theorem

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