11. f(x) = x + 3, g(x) = -x + 2. Find (f + g)(x)

(f + g)(x) = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/ Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x + 3

g(x) = -x + 2

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

Step 2: Find

Substitute in function values:                                                                          (f + g)(x) = x + 3 - x + 2[Subtraction] Combine like terms (x):                                                              (f + g)(x) = 3 + 2Add:                                                                                                                   (f + g)(x) = 5

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