Final answer:
To find f * g, multiply the functions f(x) and g(x). The function f * g is -32x² + 8x³ with a domain of all real numbers.
Step-by-step explanation:
To find the function f * g, we need to multiply the two given functions f(x) and g(x).
f(x) = 8 - 2x and g(x) = -4x²
To multiply the functions, we substitute g(x) into f(x) to get:
f * g = (8 - 2x) * (-4x²)
Expanding and simplifying, we have:
f * g = -32x² + 8x³
The domain of f * g is the set of all real numbers, as there are no restrictions on input values for the given functions.