Question

Given that f(x)=x^2 and g(x)=5x+2 ​, find (f-g)(2)​, if it exists.

Answer 1

(f - g)(2) = -8

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Terms/Coefficients
• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

f(x) = x²

g(x) = 5x + 2

Step 2: Find

1. Substitute in functions: (f - g)(x) = x² - (5x + 2)
2. [Distributive Property] Distribute negative: (f - g)(x) = x² - 5x - 2
3. Substitute in x [Function (f - g)(x)]: (f - g)(2) = 2² - 5(2) - 2
4. Evaluate: (f - g)(2) = -8