Question

F(x)=−10x2−x and g(x)=−2x2−x, find (f−g)(x) and (f−g)(−2)

Answer 1

(f - g)(x) = -8x²

(f - g)(2) = -32

General Formulas and Concepts:

Algebra I

• Combining like terms

Explanation:

Step 1: Define

f(x) = -10x² - x

g(x0 = -2x² - x

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

(f - g)(2) is f(2) - g(2)

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

1. Substitute: (f - g)(x) = -10x² - x - (-2x² - x)
2. Distribute -1: (f - g)(x) = -10x² - x + 2x² + x
3. Combine like terms: (f - g)(x) = -8x²

Step 3: Evaluate

1. Substitute: (f - g)(2) = -8(-2)²
2. Evaluate: (f - g)(2) = -8(4)
3. Multiply: (f - g)(2) = -32

And we have our answers!