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 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. none of these

if f(g(x)) is one-one function, then

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(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then (a) f is one-one (b) f is not one-one and non-constant (c) f is a constant function (d) None of these

If f(x)=sin([x]pi)/(x^2+x+1) where [.] denotes the greatest integer function, then (A) f is one-one (B) f is not one-one and not constant (C) f is a constant function (D) none of these

Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=b , then (a) f is one-one but not onto (b) f is onto but not one-one (c) f is both one-one and onto (d) none of these

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.

Which one of the following functions 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.