Answer:
A. (f - g)(x) = -7x - 3
General Formulas and Concepts:
Algebra I
Composite Functions
Combining Like Terms
Step-by-step explanation:
Step 1: Define
f(x) = -3x - 5
g(x) = 4x - 2
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = -3x - 5 - (4x - 2)
Distribute -1: (f - g)(x) = -3x - 5 - 4x + 2
Combine like terms: (f - g)(x) = -7x - 3
