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 […]

In this post, we will checking how to prove a function is one-to-one graphically .Examples and Problems are also given to help the student. This will also answer the question How do you know if the function is one-one how to prove a function is one-to-one graphically We can prove using Horizontal line test. What

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

What is Many one Function A many-to-one function is a function in which multiple elements in the domain may map to the same element in the range. In other words, a single element in the range can have more than one preimage in the domain. Definition A function f : A -> B is said

This post we will see given a function, how to check if it is onto function or not. Lets first start with the definition of the onto functions Definition of onto functions A function f: A-> B is said to be onto(surjective) if every element of B is the image of some element of A

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