Define an injective function.

Let A = R - (-5) and B = R . Let the function f: A to B be defined as f(x) = (5x + 4)/( x + 5) , x in A . Show that f is an injective function.

Let A be a finite set. Then, each injective function from A into itself is not surjective.

Fill in the blank: The total number of injective functions that can be defined form a set A contaiing n distinct elements onto itself is _______.

Let n(A)=5 and n(B)=3 then find the number of injective functions and onto functions from A to B

Let n(A)=5 and n(B)=3 then find the number of injective functions and onto functions from A to B

Let n(A)=5 and n(B)=3 then find the number of injective functions and onto functions from A to B .

Let n(A)=5 and n(B)=3 then find the number of injective functions and onto functions from A to B

If f : A to B and g : B to C are two injective functions the prove that gof : A to C is also an injection.