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`

Algorithm of one-one function

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

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

Which one of the following functions is 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 f(g(x)) is one-one function,then (1)g(x) must be one- one (2) f(x) must be one- one (3)f(x) may not be one-one (4)g(x) may not be one-one

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

Let f:A rarr B and g:B rarr 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.

Which one of the following functions is not one-one?

Which of the following statements are incorrect? If f(x) and g(x) are one-one then f(x)+g(x) is also one-one If f(x) and g(x) are one-one then f(x)dotg(x) is also one-one If f(x) is odd then it is necessarily one-one? Ia n dI Ion l y b. I Ia n dI I Ion l y c. I I Ia n dIon l y d. I ,I Ia n dI I I