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Introduction to Functions and Their Composition

This chapter provides a thorough overview of functions and limits, focusing on the definitions and properties of functions. It defines a function as a rule that assigns each element in set X to exactly one element in set Y, identifying X as the domain and Y as the range. Additionally, the concept of composition of functions is introduced, explaining how to form a new function by substituting one function into another. Examples are provided to clarify these concepts and foster understanding.

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Introduction to Functions and Their Composition

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  1. CHAPTER I FUNCTION-GRAPH &LIMITS Lecturer: TRAN THI TO NHU NATURAL SCIENCE DEPATERMENT

  2. DEFINITION FUNCTION A function is a rule assign to each other in set X exactly each other in set Y. Where X is called the domain of the function Y is called the range of the function Lecturer : Tran Thi To Nhu

  3. Lecturer : Tran Thi To Nhu

  4. Example1 Lecturer : Tran Thi To Nhu

  5. Example 2 Lecturer: Tran Thi To Nhu

  6. Lecturer : Tran Thi To Nhu

  7. DEFINITION COMPOSITION OF FUNCTION Given functions f(u) and g(x), the compsition f[g(x)] is the function of x formed by subtituting u=g(x) for u in the formula for f(u) Lecturer : Tran Thi To Nhu

  8. KHTN-GV: Trần Thị Tố Như

  9. Example 3 KHTN-GV: Trần Thị Tố Như

  10. KHTN-GV: Trần Thị Tố Như

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