This post we will see given a function, how to check if it is one-one function or not. Lets first start with the definition of the one-one functions Definition of one-one functions A function f: A-> B is said to be one-one if, and only if, for all elements a1 and a2 in A, if

For a functionf:A ->B Set A is called the domain of the function fSet B is called the co-domain of the functionThe set of Images of all elements in Set A is called the range i.e it is the set of values of f(x) that we get for each and every x in the domain

Here is the Relation and function class 12 formulas What is Relations A relation R from a non-empty set A to a non-empty set B is a subset of the Cartesian product A × B. It “maps” elements of one set to another set. The subset is derived by describing a relationship between the first

Into functions are those functions where range is a subset of the codomain of the functions but range is not equal to co-domain Definition A function f: A-> B is said to be into if every element of B is not image of some element of A under f, i,efor every y ? B, there

Here in this post , we will see how to find the inverse of a function Inverse Function How to find the inverse of a function Method I Method II Method III Let f(x) be the function and $f^{-1}(x) $ be the inverse We can use below equation $f(f^{-1}(x)) =x$ Example f(x)=4x -2 $f(f^{-1}(x)) =x$or$4

Inverse trigonometric functions are the inverse functions of the basic trigonometric functions: sine, cosine, and tangent. To define these inverse functions, we need to restrict the domain and range of the original functions so that they become one-to-one and onto. Here are the domain and range for each of the primary inverse trigonometric functions: Domain: