Learn inverse functions with a visual guide to reversing inputs and outputs, the horizontal line test, domain and range swaps, and reflections across y=x. Follow a worked linear inverse, verify both compositions, and see why x² needs a restricted domain before choosing the square-root branch. Save for algebra and AP Precalculus revision, then explore the matching NUM8ERS inverse functions guide.
Swap x and y, solve for the new output and use inverse notation. The input-output diagram shows how inverse functions undo each other.

How To Do Inverse Functions
Read about how I teach my high school students about inverse functions. Start by inverting coordinates to teach inverse functions. Notice the geometric connection with the inverse as the reflection over the line y=x. Multiple representations are explored: tables, graphs and equations. Blog post by Mathberry Lane
how to find the inverse of a function algebraically, graphically, how to determine if two given functions are inverses, how to find the inverse of a function, examples and step by step solutions, Intermediate Algebra


How To Inverse Function Keys
Teach Inverse Functions with this easy hand-drawn algebra infographic! Students learn how an inverse function undoes the original function using y = f⁻¹(x), with key rules like f(f⁻¹(x)) = x and f⁻¹(f(x)) = x. Includes steps for finding an inverse, swapping x and y, solving for y, graph reflection over y = x, examples, and real-life uses. Perfect for high school algebra, homeschool lessons, classroom anchor charts, functions practice, and quick revision. Save this pin to help students understand inverse functions, input-output relationships, and graphing with confidence. #InverseFunction #Functions #AlgebraBasics #MathForKids #MathEducation #HighSchoolMath #TeachingMath #Homeschooling #MathAnchorChart #StudyTips


Today, let's undo a function 💡 6 worked examples for finding inverse functions: swap x and y, solve in reverse order, keep domain restrictions, and verify with composition. Includes cube roots, square roots, and how to prove two functions are true inverses. Small steps, big progress! #MathFoundations #AlgebraSkills #ProblemSolving #InverseFunctions
How To Find Inverse Functions
Inverse Trig Functions - EXCELLENT video lesson with 19 Example Problems. Learn how to graph and evaluate inverse trig functions. Terrific for new algebra teachers. Perfect for high school and middle school math courses. As a bonus, learn how use the unit circle, reference triangles, and trigonometric identies to solve inverse trig functions. Watch it today! #homeschooling #math
Are your algebra 1 or algebra 2 students learning how to find inverse functions? Here's how to make the process of finding function inverses easy, visual and hands-on-- with a hole punch!










Teach Function Notation with this easy hand-drawn algebra infographic! Students learn what f(x) means, how to read function notation, identify input and output, and evaluate functions step by step. Includes simple examples, substitution practice, and visual notes to help students understand rules like y = f(x). Perfect for middle school math, high school algebra, homeschool lessons, classroom anchor charts, and quick revision. Save this pin to help students build confidence with functions, graphs, and algebra basics. #FunctionNotation #AlgebraBasics #Functions #MathForKids #MathEducation #MiddleSchoolMath #HighSchoolMath #TeachingMath #Homeschooling #StudyTips
Let me know how you did on this inverse functions problem! 😯 #InverseFunctions #ACTPrep #MathTutor #StudyTips #TestPrep
What are inverse trigonometric functions. How to find them with their identities. Learn their graphs (domain and range), derivatives, & integrations with examples.
How to find an inverse function
If sin⁻¹, cos⁻¹, tan⁻¹ have ever confused you… this cheat sheet will make everything crystal clear. 💡 Learn FAST: ✔️ What inverse trig actually means (no more guessing angles!) ✔️ Domains & ranges you MUST know for exams ✔️ Graphs that finally make sense 📊 ✔️ Key identities & relationships ✔️ Step-by-step solving techniques 🔥 This is one of the most tested topics in AP Precalculus — and now it’s EASY. 🎯 Perfect for: 📚 AP Precalculus students 🎓 IB / SAT / A-Level learners 👩🏫 Teachers & tutors 🚀 Anyone aiming for top grades in math 📌 SAVE this post — you’ll need it before your exam 📤 SHARE with a friend who struggles with trig 👇 Comment “INVERSE” and we’ll send more cheat sheets like this! 🌐 Learn smarter: num8ers.com #InverseTrig #Trigonometry #APPrecalculus #Math