answer
(f-g)(x) = -12x³ + 12x² - 20
Explanation:
We are given that:
f(x) = -12x³ + 19x² - 5
g(x) = 7x² + 15
To compute (f-g)(x), we will simply subtract the two functions
This means that:
(f-g)(x) = f(x) - g(x)
(f-g)(x) = (-12x³ + 19x² - 5) - (7x² + 15)
Now, we compute the subtraction by gathering like terms to simplify the equation
(f-g)(x) = (-12x³ + 19x² - 5) - (7x² + 15)
(f-g)(x) = -12x³ + 19x² - 5 - 7x² - 15
(f-g)(x) = -12x³ + x²(19-7) - 5 - 15
(f-g)(x) = -12x³ + 12x² - 20
