Respuesta :

Space

Answer:

(f - g)(x) = -x + 8

General Formulas and Concepts:

  • Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 1

g(x) = 3x - 7

(f - g)(x) = f(x) - g(x)

Step 2: Simplify

  1. Set up:                              (f - g)(x) = (2x + 1) - (3x - 7)
  2. Distribute -1:                     (f - g)(x) = 2x + 1 - 3x + 7
  3. Combine like terms:        (f - g)(x) = -x + 8
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[tex](f - g)(x) = f(x) - g(x) = [/tex]

[tex](2x + 1) - (3x - 7) = [/tex]

[tex]2x + 1 - 3x + 7 = [/tex]

[tex] - x + 8[/tex]

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Thus ;

[tex](f - g)(x) = - x + 8[/tex]

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