Functions#!#Problems on One-One Onto and Composite Functions

One-one,many-one, into and onto function

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

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

Composite Function and Homogeneous Function ||Questions based OF composite function

Problems based on Composite Function and Functional Equations

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

Classify the following functions in the form of one-one,many one,into and onto,also give reason to support your answer.

Statement-1 : If f(x) and g(x) are one-one functions then f(g(x)) and g(f(x)) is also a one-one function. and Statement-2 The composite function of two one-one function may or many not be one-one.