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Answer :
f(x) = -5x
g(x) = 8x² - 5x - 9
(f×g)(x) = ?
= ((-5x)(8x²-5x-9))
= -40x³ + 25x² + 45x → The answer Opsi D
g(x) = 8x² - 5x - 9
(f×g)(x) = ?
= ((-5x)(8x²-5x-9))
= -40x³ + 25x² + 45x → The answer Opsi D
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Final answer:
The product of the functions f(x) and g(x) is given by -40x^3 + 25x^2 + 45x, which corresponds to the option (d).
Explanation:
The given functions are f(x)=-5x and g(x)=8x^2-5x-9. The problem is asking for the product of these two functions, denoted as (f * g)(x). To find (f * g)(x), we simply multiply f(x) by g(x).
So, ( f * g)(x) = f(x) * g(x) = (-5x)*(8x^2-5x-9).
Next, we distribute the -5x to each term inside the parentheses to get:
-5x * 8x^2 = -40x^3
-5x * -5x = 25x^2
-5x * -9 = +45x
Therefore, (f * g)(x) = -40x^3 + 25x^2 + 45x, which corresponds to option (d).
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