Answer :
Final answer:
To find the product of the functions f(x) = 2x⁵ and g(x) = 6x - 9, we get h(x) = 12x⁶ - 18x⁵. Hence, none of the provided options accurately defines function h.
Explanation:
In mathematics, when it is said that function h is the product of functions f and g, it means we have to multiply the two given functions to get function h. In this case, the given functions are f(x) = 2x⁵ and g(x) = 6x - 9. The product of these two functions would be h(x) = f(x) * g(x) = (2x⁵)(6x - 9). After performing the multiplication, we get h(x) = 12x⁶ - 18x⁵. Therefore, none of the provided options 1) h(x) = 12x² - 45, 2) h(x) = 12x² - 4x - 45, 3) h(x) = 12x² + 12x - 45, 4) h(x) = 12x - 45 accurately defines the function h.
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