Question

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

Answer 1

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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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Answer 2

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

General Formulas and Concepts:

• Order of Operations: BPEMDAS

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