Question

Find (f+g)(x).

f(x) = 1
-
x

g(x) = x^2 + 2x-5

Answer 1

(f + g)(x) = x² + x - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Terms/Coefficients
• Functions
• Function Notation

Explanation:

Step 1: Define

f(x) = 1 - x

g(x) = x² + 2x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Solve

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