Answer:
(f*g)(x) = 8x³ - 40x² + 18x + 36
Explanation:
We are given that:
f(x) = 2x² - 7x - 6
g(x) = 4x - 6
To get (f*g)*x), we will simply multiply the two given functions
This means that:
(f*g)(x) = f(x) × g(x)
(f*g)(x) = (2x² - 7x - 6) × (4x-6)
Now, we compute the product to get the function in the simplest form:
(f*g)(x) = (2x² - 7x - 6) × (4x-6)
(f*g)(x) = 2x²(4x) + 2x²(-6) - 7x(4x) -7x(-6) - 6(4x) - 6(-6)
(f*g)(x) = 8x³ - 12x² - 28x² + 42x - 24x + 36
(f*g)(x) = 8x³ - 40x² + 18x + 36
Hope this helps :)
