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Welcome to Week 5 Lecture 9 of the course "Mathematics for Data Science I" by Profs. Neelesh Upadhye, Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1001.html Video Overview In this lecture, we delve into the theory of inverse functions, exploring when and how we can reverse a function to find its input given its output. We begin with a motivating example showing why information is insufficient unless the function is one-to-one. Key concepts include one-to-one functions, the horizontal line test, composition of functions, and the formal definition of an inverse function. Finally, we examine the graphical relationship between a function and its inverse, highlighting their symmetry across the line y = x. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #InverseFunctions #OneToOneFunctions #FunctionReversibility #HorizontalLineTest #CompositionOfFunctions #DomainAndRange #Symmetry #GraphingFunctions #MathLecture #Calculus #Mathematics #ReversibleFunctions #datasciencemath #iitmadras #onlinestudy
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