Chapter 8: Inverse of a Function
Return to Table of Content Mathematics for Biotechnology and Data Science Chapter 1: Set Theory Chapter 2: Operation of Sets Chapter 3: Application of Set Theory Chapter 4: Venn Diagram Chapter 5: Relation Chapter 6: MAPPING OR FUNCTIONS Chapter 8: Inverse of a Function 8.1. Inverse Function Let f be a one-one function from A onto B. Since f is onto, therefore, , there exists such that and since f is one-one, therefore this element x is unique. Thus, a function can be defined from B onto A such that . This function is called the inverse function of and is denoted by . Thus such that iff . Example 1: How to find the inverse of a given function. To find the inverse of the function , express x in terms of y. then value of x in terms of y will be . Now put x in place of y in to get . Invertible function: A function f...