Answer:
(fg)(x) =
is the answer.
Step-by-step explanation:
It is given f(x) = 2x² - 5x -3 and g(x) = 2x² + x
Then we have to find (fg)(x)
As we know (fg)(x) = f(x).g(x)
By putting the values of f(x) and g(x)
(fg)(x) = (2x² - 5x - 3)(2x²+x)
= 2x²(2x²+x) - 5x(2x² + x) - 3(2x² + x)
= ![4x^{4}+2x^{3}-10x^{3}-5x^{2}-6x^{2}-3x](https://tex.z-dn.net/?f=4x%5E%7B4%7D%2B2x%5E%7B3%7D-10x%5E%7B3%7D-5x%5E%7B2%7D-6x%5E%7B2%7D-3x)
= ![4x^{4}-8x^{3}-11x^{2}-3x](https://tex.z-dn.net/?f=4x%5E%7B4%7D-8x%5E%7B3%7D-11x%5E%7B2%7D-3x)
So the value of (fg)(x) =
is the answer.