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

User Migs
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1 Answer

15 votes
15 votes

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

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
User Jay Stevens
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