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Answer :
Final answer:
After multiplying the provided functions, (f · g)(-2) equates to -192. The question's provided options do not include this result, indicating a possible discrepancy.
Explanation:
To find (f · g)(-2), you will need to multiply the functions f(x) and g(x) and then simplify the result for x = -2.
The provided functions are f(x) = -3x² and g(x) = -2x³. The product of these functions is:
(f · g)(x) = f(x) · g(x) = (-3x²) · (-2x³) = 6xµ.
Now, substitute x = -2 into the product to find (f · g)(-2):
(f · g)(-2) = 6(-2)µ = 6 · -32 = -192. Therefore, the simplified result is -192, which is not listed as an option in the question, suggesting there might be an error in the provided choices or an error made in the multiplication process.
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