Question

If f(x) = 3x + 10x and g(x) = 2x - 4, find (f- g)(x).

O A. 15x-4
B. 3X + 8x+4
O c. 3* – 8x+4
D. 3% + 12x-4

Answer 1

B. 3ˣ + 8x + 4

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Terms/Coefficients
• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

f(x) = 3ˣ + 10x

g(x) = 2x - 4

Step 2: Find

1. Substitute in function values: (f - g)(x) = 3ˣ + 10x - (2x - 4)
2. [Distributive Property] Distribute negative: (f - g)(x) = 3ˣ + 10x - 2x + 4
3. Combine like terms: (f - g)(x) = 3ˣ + 8x + 4

Answer 2

3^x+8x+4

Explanation:

f(x) = 3^x + 10x

g(x) = 2x - 4

(f- g)(x)=3^x + 10x - (2x - 4)

Distribute the minus sign

(f- g)(x)=3^x + 10x - 2x + 4

Combine like terms

3^x+8x+4