Question: Find the product of the functions f(x) = (x² + 12x + 32)/(x² + 2x - 15) and g(x) = (x - 3)/(x + 4). Determine any domain restrictions for the resulting function (f * g)(x).
Options: A) Find the sum of the functions f(x) and g(x) B) Determine the difference between the functions f(x) and g(x) C) Calculate the quotient of the functions f(x) and g(x) D) Evaluate the product of the functions f(x) and g(x)
Note: The unnecessary space and words have been removed to make the question more concise and clear.
