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Given that f(x) = x2 + 4x - 32 and g(x) = x– 4, find (f + g)(x) and express
the result in standard form.

Respuesta :

Space

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

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