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If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).

1 Answer

4 votes

Answer:

(f + g)(x) = 5x + 3

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

Identify

f(x) = 2x - 6

g(x) = 3x + 9

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

Step 2: Find

  1. Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9
  2. Combine like terms: (f + g)(x) = 5x + 3
User Oleksandr Firsov
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