If `f: AvecBa n dg: BvecC` are one-one functions, show that `gof` is one-one function.

If f: A->B and g: B->C are one-one functions, show that gof is one-one function.

If f:A rarr B and g:B rarr C are one-one functions,show that gof is one-one function.

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.

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.

If fa n dg are one-one functions, then (a) f+g is one one (b) fg is one one (c) fog is one one (d) non e of t h e s e

If fa n dg are one-one functions, then (a) f+g is one one (b) fg is one one (c) fog is one one (d) non eoft h e s e

Let f : A rarr B, g : B rarr C be two functions such that gof is one-one and onto. Show that f is one-one and g is onto.

If f and g are one-one functions, then (a) f+g is one one (b) fg is one one (c) fog is one one (d) n on e of these

If f and g are one-one functions, then a)f + g is one-one b)f g is one-one c)fog is one-one d)none of these

Let f:RtoR,g:RtoR be two one-one functions. Check whether gof is one-one or not.