Question

If f(x) = 5x² - 3 and g(x) = x² - 4x - 8, find (f- g)(x).

A. (f-g)(x) = 2x2² - 11
OB. (f- g)(x) = 4x² - 4x-5
C. (f- g)(x) = 6x² - 4x-11
OD. (f- g) (x) = 4x² + 4x + 5

Answer 1

To find (f - g)(x), subtract g(x) from f(x). The answer is 6x² - 4x - 11.

Step-by-step explanation:

To find (f - g)(x), we need to subtract g(x) from f(x). Subtracting means subtracting corresponding terms from each function. So, we have:

1. Subtracting the constants: (5x² - 3) - (-8) = 5x² + 5
2. Subtracting the coefficients of the x terms: -4x - (-4x) = 0
3. Subtracting the x² terms: 0

Therefore, (f - g)(x) = 5x² + 5. The correct option is C. (f- g)(x) = 6x² - 4x-11.

Learn more about Polynomial subtraction