Question

Let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)

Answer 1

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

• Function Notation
• Combining Like Terms

Explanation:

Step 1: Define

f(x) = 3x + 5

g(x) = x²

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

Step 2: Find (f - g)(x)

1. Substitute: (f - g)(x) = 3x + 5 - x²
2. Rewrite: (f - g)(x) = -x² + 3x + 5