Let `f: A to B; g: B to A` be two functions such that `fog = I_B`. Then; f is a surjection and g is an injection.

Let f:A rarr B;g:B rarr A be two functions such that gof=I_(A). Then; f is an injection and g is a surjection.

Let f and g be two functions such that gof=L_(A) and fog=L_(B). Then; f and g are bijections and g=f^(-1)

If f: A-A ,g: A-A are two bijections, then prove that fog is an injection (ii) fog is a surjection.

Let f:A to B and g:B to C be bijection, then (fog)^(-1) =

Let f:R rarr R and g:R rarr R be two given functions such that f is injective and g is surjective.Then which of the following is injective.Then which of the following is these

If f: A->A ,\ \ g: A->A are two bijections, then prove that fog is an surjection.

Let f:[0'1] to [-1,1] and g:[-1,1] to [0,2] be two functions such that g is injective and g^(@) f:[0,1] to [0,2] is surjective. Then

Let f and g be two real functions;such that fog is defined.If g is continuous at x=a and f is continuous at g(a); show that fog is continuous at x=a