Question

Given that f(x) = x2 + 4x - 32 and g(x) = x– 4, find (f + g)(x) and express

Answer 1

Answer:

(f + g)(x) = x² + 5x - 36

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/Degrees
• Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = x² + 4x - 32

g(x) = x - 4

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

Step 2: Find

1. Substitute:                             (f + g)(x) = x² + 4x - 32 + (x - 4)
2. Combine like terms (x):        (f + g)(x) = x² + 5x - 32 - 4
3. Combine like terms (Z):        (f + g)(x) = x² + 5x - 36