Concept check | Condition that all the roots of f(x)=f^-1(x), f(f(x))=x are exactly same as f(x)=x скачать в хорошем качестве

Concept check | Condition that all the roots of f(x)=f^-1(x), f(f(x))=x are exactly same as f(x)=x

Dive into a common mathematical misconception with our latest video! Many believe that solving f(x)=f^(-1)(x) is equivalent to solving f(x)=x, and that all roots must lie on the line y=x. But is this always true? Join us as we explore this concept in depth, particularly focusing on the crucial role of monotonicity. We demonstrate through clear examples and a practical problem that this holds true primarily for functions that are monotonically increasing. Whether you're a student, educator, or math enthusiast, this video will sharpen your understanding and challenge your assumptions. Don't miss out on enriching your mathematical knowledge and clearing up this common confusion! Telegram link: https://t.me/mathsmerizing Twitter handle:   / mathsmerizing   Instagram handle:   / mathsmerizing   Website: www.mathsmerizing.com Support the channel: UPI link: 7906459421@okbizaxis #MathMyths #FunctionInverse #mathconcepts #MonotonicFunctions #MathMisconceptions #matheducation #learningmaths #advancedmaths #MathClarity #problemsolving #mathsmerizing