Answer:
(f * g)(x) = -18x² + 63x - 55
General Formulas and Concepts:
Algebra
- Expand by FOIL (First Outside Inside Last)
- Terms/Coefficients/Degrees
Step-by-step explanation:
Step 1: Define
f(x) = -6x + 11
g(x) = 3x - 5
(f * g)(x) is f(x) · g(x)
Step 2: Find
- Substitute: (f * g)(x) = (-6x + 11)(3x - 5)
- Expand [FOIL]: (f * g)(x) = -18x² + 30x + 33x - 55
- Combine like terms: (f * g)(x) = -18x² + 63x - 55
