Answer:
(f – g)(x) = -3x² - x -4.
Step-by-step explanation:
Given : If f(x) = –4x² – 6x – 1 and g(x) = –x²– 5x + 3.
To find : (f – g)(x).
Solution ; We have given that f(x) = –4x² – 6x – 1
g(x) = –x²– 5x + 3.
(f – g)(x) = f(x) - g(x).
(f – g)(x) = (–4x² – 6x – 1 ) - ( –x²– 5x + 3) .
(f – g)(x) = –4x² – 6x – 1 + x²+ 5x - 3 .
Combine like terms
(f – g)(x) = –4x² + x² - 6x + 5x -1 -3.
(f – g)(x) = -3x² - x -4.
Therefore, (f – g)(x) = -3x² - x -4.
