Question

value: 2
subtract
f(x) = -5x² + x - 2
g(x) = -3x² + 3x + 9
○ a. 2x² + 2x - 11
○ b. -2x² - 2x - 11
○ c. 2x² - 2x + 11
○ d. -2x² + 2x + 11

Explanation:

Step1: Define the subtraction

$f(x) - g(x) = (-5x^2 + x - 2) - (-3x^2 + 3x + 9)$

Step2: Distribute the negative sign

$f(x) - g(x) = -5x^2 + x - 2 + 3x^2 - 3x - 9$

Step3: Combine like terms

$(-5x^2 + 3x^2) + (x - 3x) + (-2 - 9) = -2x^2 - 2x - 11$

Answer:

b. $-2x^2 -2x -11$