Question

F(x)=5x2−3x−1 and g(x)=2x2−x+3

f(x)+g(x)=
Question 18 options:

3x2−4x−4

3x2−2x−4

7x2+4x+3

7x2−4x+2

Answer 1

f(x) + g(x) = 7x² - 4x + 2

General Formulas and Concepts:

Algebra I

• Combining Like Terms

Explanation:

Step 1: Define

f(x) = 5x² - 3x - 1

g(x) = 2x² - x + 3

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

1. Substitute: f(x) + g(x) = 5x² - 3x - 1 + 2x² - x + 3
2. Combine like terms (x²): f(x) + g(x) = 7x² - 3x - 1 - x + 3
3. Combine like terms (x): f(x) + g(x) = 7x² - 4x - 1 + 3
4. Combine like terms (Z): f(x) + g(x) = 7x² - 4x + 2