Question

If f(x) = 2x - 1 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3

Answer 1

f(g(-3)) = -11

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

Algebra I

• Functions
• Function Notation
• Composite Functions

Explanation:

Step 1: Define

Identify

f(x) = 2x - 1

g(x) = 2x + 1

x = -3

Step 2: Evaluate

1. Substitute in x: f(g(-3))
2. Substitute in x [Function g(x)]: g(-3) = 2(-3) + 1
3. Multiply: g(-3) = -6 + 1
4. Add: g(-3) = -5
5. Rewrite: f(-5)
6. Substitute in x [Function f(x)]: f(-5) = 2(-5) - 1
7. Multiply: f(-5) = -10 - 1
8. Subtract: f(-5) = -11