Скачать или смотреть How to Find the Inverse of a Function | Step-by-Step Examples

📚 Master Finding the Inverse of a Function with Step-by-Step Examples! In this video, you’ll learn exactly how to find the inverse of a function using four clear algebraic steps. Whether the function is linear, cubic, or a rational expression, we’ll walk through each example carefully to show you how to isolate y and write the inverse function in proper notation. By the end, you’ll be confident in finding inverses for a wide range of functions!

🔍 What You’ll Learn in This Video:
✅ Steps to Find the Inverse of a Function:

Replace f(x) with y
Switch x and y
Solve for y
Replace y with f⁻¹(x)

✅ Practice with Different Types of Functions:
✔ Linear function: f(x) = 2x + 3
✔ Cubic function: f(x) = 2x³ − 5
✔ Radical function: f(x) = √(8x + 5)
✔ Rational function: f(x) = (2x + 1)/(3x − 4)
Each example is worked out step by step, so you can follow along and apply the process to your own problems.

🧠 Why It Matters:
✔ Inverse functions help us “undo” operations
✔ They’re essential in solving equations, graphing, and understanding relationships between variables
✔ They’re commonly tested in algebra and precalculus courses

📥 Download Free Guided Notes!
Follow along and practice each example step by step:
👉 https://www.understandthemath.com/alg...

Prerequisite Algebra and Geometry Concepts
   • How to Classify Numbers | Real, Rational, ...  
   • Fractions Made Easy: Learn to Add, Subtrac...  
   • Master the Order of Operations | Step-by-S...  
   • Master the FOIL Method for Binomials | Qui...  
   • How to Square a Binomial | Step-by-Step Gu...  
   • Distance Formula Explained | Step-By-Step ...  
   • Midpoint Formula Explained | Step-By-Step ...  
   • The Pythagorean Theorem Explained | Find t...  
Functions
   • Functions and the Vertical Line Test | Def...  
   • How to Evaluate Functions | Formula, Table...  
   • How to Use Interval Notation to Write an I...  
   • Interval Notation with Multiple Inequaliti...  
   • How to Find the Domain of a Function | Ste...  
   • Piecewise Functions Explained | How to Eva...  
   • How to Identify Increasing, Decreasing, an...  
   • Finding Relative Maxima and Minima from th...  
   • How to Find the Average Rate of Change | S...  
   • Concavity & Inflection Points Explained | ...  
   • How to Analyze a Graph | Increasing, Decre...  
   • How to Evaluate Composite Functions | Alge...  
   • Domain of a Composite Function | Step-by-S...  
   • Master Essential Parent Functions | Graphs...  
   • Transformations of Functions | Shifts, Str...  
   • How to Graph Transformations of Functions ...  
   • How to Graph Absolute Value Functions | St...  
   • Classify a Function as Even, Odd, or Neith...  
   • Inverse Functions Explained | Table, Graph...  
   • How to Find the Inverse of a Function | St...  
   • Domain and Range of an Inverse Function | ...  
   • The Horizontal Line Test Explained | One-t...  
Linear Functions
   • Functions and the Vertical Line Test | Def...  
   • How to Evaluate Functions | Formula, Table...  
   • How to Use Interval Notation to Write an I...  
   • Interval Notation with Multiple Inequaliti...  
   • How to Find the Domain of a Function | Ste...  
   • Piecewise Functions Explained | How to Eva...  
   • How to Identify Increasing, Decreasing, an...  
   • Finding Relative Maxima and Minima from th...  
   • How to Find the Average Rate of Change | S...  
   • Concavity & Inflection Points Explained | ...  
   • How to Analyze a Graph | Increasing, Decre...  
   • How to Evaluate Composite Functions | Alge...  
   • Domain of a Composite Function | Step-by-S...  
   • Master Essential Parent Functions | Graphs...  
   • Transformations of Functions | Shifts, Str...  
   • How to Graph Transformations of Functions ...  
   • How to Graph Absolute Value Functions | St...  
   • Classify a Function as Even, Odd, or Neith...  
   • Inverse Functions Explained | Table, Graph...  
   • How to Find the Inverse of a Function | St...  
   • Domain and Range of an Inverse Function | ...  
   • The Horizontal Line Test Explained | One-t...  

Algebra Playlist
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Timestamps
00:00 Introduction
00:22 Steps to Find the Inverse of a Function
01:00 Example 1: f(x) = 2x + 3
03:48 Example 2: f(x) = 2x³ − 5
06:45 Example 3: f(x) = √(8x + 5)
09:29 Example 4: f(x) = (2x + 1)/(3x − 4)

More About Understand The Math
Understand The Math offers clear, accessible, and engaging mathematics instruction for students and lifelong learners. I'm Cheryl Hile, the founder of Understand The Math, with a Ph.D. in Engineering Science and Applied Mathematics and over 25 years of university teaching experience. My goal is to provide accurate, high-quality math instruction through step-by-step explanations and carefully worked-out examples.

Each video includes free guided notes, linked in the description. These notes help students follow along, highlight key concepts, and practice problems, making review easier and more effective.

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