Question

Write the difference of the given functions (f - g)(x):
f(x) = x² + 2x - 6 and g(x) = x + 5.

Answer 1

(f - g)(x) = x² + x - 11

General Formulas and Concepts:

Pre-Algebra

• Properties

Algebra I

• Combining like terms

Explanation:

Step 1: Define

f(x) = x² + 2x - 6

g(x) = x + 5

(f - g)(x) is f(x) - g(x)

Step 2: Find

1. Substitute: (f - g)(x) = x² + 2x - 6 - (x + 5)
2. Distribute -1: (f - g)(x) = x² + 2x - 6 - x - 5
3. Combine like terms: (f - g)(x) = x² + x - 11