Question

Given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))

Answer 1

Answer:

f(g(x)) = 15x + 2

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

• Functions
• Function Notation
• Composite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x + 7

g(x) = 3x - 1

Step 2: Find

1. Substitute in functions:                                                                                    f(g(x)) = 5(3x - 1) + 7
2. [Distributive Property] Distribute 5:                                                                 f(g(x)) = 15x - 5 + 7
3. [Addition] Combine like terms:                                                                        f(g(x)) = 15x + 2