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Master Inverse Functions in College Algebra. In this video, we define what makes a function One-to-One and how to use the Horizontal Line Test. We then cover the step-by-step algebraic method to find the Inverse Function by switching x and y. We solve difficult examples including Rational Functions and functions with Restricted Domains (like parabolas). Finally, we visualize inverses by graphing them as reflections across the line. Table of Contents: 0:00 - Introduction to Inverse Functions 0:50 - Deciding if a Function is One-to-One 5:32 - The Horizontal Line Test 9:36 - Definition of Inverse Functions 11:52 - Verifying Inverses (Composition of Functions) 17:17 - How to Find the Inverse Function (Step-by-Step) 22:05 - Finding Inverse Equations Examples 28:54 - Finding the Inverse of a Rational Function (Harder Example) 33:00 - Graphing Inverse Functions (Reflection Strategy) 34:48 - Inverse Functions with Restricted Domains 37:19 - Summary of Inverse Facts CALCULATORS Best Overall:TI-84 Plus CE (Approved for SAT/ACT/College Exams): https://amzn.to/4s95fPn Pro Choice: TI-Nspire CX II CAS (Advanced graphing & color screen): https://amzn.to/49rav9r Budget King: Casio-fx-CG50 PRIZM (3D graphing at a lower price): https://amzn.to/4jdbvkV Scientific (Non-Graphing): TI-36X Pro (Perfect if your prof bans graphing models): https://amzn.to/4jdXQtW Disclosure: As an Amazon Associate, I earn from qualifying purchases. These links help support the channel at no extra cost to you! #InverseFunctions #CollegeAlgebra #OnetoOne #MathHelp #RationalFunctions #HorizontalLineTest