Question

If f(x) = 4x-3 and g(x) = x+4, find (f-g)(x).

A. 5x-1
B. 3x-7
C. 5x-7
D. 7-3x​

Answer 1

B. 3x - 7

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

Distributive Property

Algebra I

• Terms/Coefficients
• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

f(x) = 4x - 3

g(x) = x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

1. Substitute in functions: (f - g)(x) = 4x - 3 - (x + 4)
2. [Distributive Property] Distribute negative: (f - g)(x) = 4x - 3 - x - 4
3. [Subtraction] Combine like terms (x): (f - g)(x) = 3x - 3 - 4
4. [Subtraction] Combine like terms: (f - g)(x) = 3x - 7