Consider the functions with the rules f(x) = log. (x + 3) and g(x) = -x² – 3x -2, %3D defined on their maximal domains. Show that f(g(x)) does not exist. (x-2) a. (2-x) (1-X)- loge (-23X-21+3) b. If g: K → R, g(x) = -x² – 3x – 2, find the largest subset Kof R, such that f(g(x)) is defined and determine the function f(g(x)).

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A: We will find out the required values.

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A: Step 1:

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A: Explained below..

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A: The solution is given below :