Mathematics for Data Science 1 - W5_L8: Composite functions finding the domain with examples

Welcome to Week 5 Lecture 8 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 Learn how to determine the domain of composite functions. This lecture breaks down the essential rules for finding the domain of f(g(x)), including identifying values that must be excluded. A detailed worked example with f(x) = 2/(x-1) and g(x) = 3/x demonstrates the process step by step. An additional exercise is also included so viewers can pause, solve, and then check their understanding against the solution. 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 #compositefunctions #functiondomain #domainoffunction #mathematics #calculus #functioncomposition #math #precalculus #functionanalysis #education #tutorial #datasciencemath #iitmadras #onlinestudy