One-One Onto Functions#!#Inverse Functions

Types Of Functions|One- One Functions|Many -One Functions|Exercise Questions|Onto- Functions|Into -Functions|Exercise Questions|OMR

Prove that the function f:A rarr B is one-one onto,then the inverse function f^(-1):B rarr A is unique.

A set A has 4 elements One-one onto functions are defined on A.If one function is selected form them then the probability that it satisfies f(x)!=x AA x in A, will be

Onto Function|Bijective Function|Examples|OMR|Summary

Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) such that m!=n 1) f is one one into function2) f is one one onto function3) f is many one into funciton4) f is many one onto funcionn then

Exercise Questions|Different Types Of Mappings|Many-One Function|Onto Function (Surjective Mapping)|Number Of Function|Exercise Questions|OMR

The domain of trigonometric functions can be restricted to any one of their branch (not necessary principal value) in order to obtain their inverse function s.

Prove that the function f : RrarrR where R is the set of all real numbers, defined as f (x) = 3x + 4 is one-one and onto . Also find the inverse function of f.

If function f(x) is defined from set A to B, such that n(A)=3 and n(B)=5 . Then find the number of one-one functions and number of onto functions that can be formed.

Injective function(one-one function) and Many- one function