Question

What is the inverse of the function f(x) = x +3?

Answer 1

Answer:

f⁻¹(x) = x - 3

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  

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Functions
• Function Notation
• Inverse Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x + 3

Step 2: Find

1. Swap:                                                                                                                 x = y + 3
2. [Subtraction Property of Equality] Isolate y:                                                      x - 3 = y
3. Rewrite:                                                                                                             f⁻¹(x) = x - 3