Question

Let f(x) = 3x - 5 and g(x) = x +10 Find f(g(x))

Answer 1

f(g(x)) = 3x + 25

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Function Notation
• Function Composition

Explanation:

Step 1: Define

f(x) = 3x - 5

g(x) = x + 10

Step 2: Find f(g(x))

1. Substitute: f(g(x)) = 3(x + 10) - 5
2. Distribute 3: f(g(x)) = 3x + 30 - 5
3. Subtract: f(g(x)) = 3x + 25