Question

For f(x) = 2x+1 and g(x) = 3x-7, find (f-g)(x)

Answer 1

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

Answer 2

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

$(2x + 1) - (3x - 7) =$

$2x + 1 - 3x + 7 =$

$- x + 8$

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Thus ;

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

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