Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Algebra I
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
Step 1: Define
Identify
f(x) = 5x + 7
g(x) = 3x - 1
Step 2: Find
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2