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

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: 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 fog=I_(B). Then; f is a surjection and g is an injection.

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)

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? a. gof b. fog c. gog d. none of these

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

Let A be a non-empty set and f : A rarr A, g : A rarr A be two functions such that fog = I_A = gof , show that f and g are ijections and that g = f^-1

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: 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.