Let `A` be a finite set. If `f: A->A` is a one-one function, show that `f` is onto also.

Let A be a finite set. If f: A->A is an onto function, show that f is one-one also.

Let A be a finite set. If f: AvecA is an onto function, show that f is one-one also.

Let f: A->A be a function such that fof=f . Show that f is onto if and only if f is one-one. Describe f in this case.

Let f: A to B and g: B to C be two functions. Then; if gof is onto then g is onto; if gof is one one then f is one-one and if gof is onto and g is one one then f is onto and if gof is one one and f is onto then g is one one.

Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then f(x) is an odd function f(x) is a one-one function f(x) is an onto function f(x) is an even function

Show that a one-one function f : {1, 2, 3}-> {1, 2, 3} must be onto.

Show that a one-one function f : {1, 2, 3}-> {1, 2, 3} must be onto.

Let A be the set of all 50 students of class X I I in a central school. Let f: A->N be a function defined by f(x)=Roll number of student x Show that f is one-one but not onto.

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 function then