Given that f(x) = x2 + 4x - 32 and g(x) = x– 4, find (f + g)(x) and express
1 answer:
Answer:
(f + g)(x) = x² + 5x - 36
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² + 4x - 32
g(x) = x - 4
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find</u>
- Substitute: (f + g)(x) = x² + 4x - 32 + (x - 4)
- Combine like terms (x): (f + g)(x) = x² + 5x - 32 - 4
- Combine like terms (Z): (f + g)(x) = x² + 5x - 36
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