Let `f(x)=2x-sinxa n dg(x)=x3` . Then A. range of `gof` is `R` B. `gof` is one-one C. both `f` and `g` are one-one D. both `f` and `g` are onto

Let f(x)=2x-sin xandg(x)=x3. Then A range of gof is R B.go f is one-one C. both f and g are one-one D.both f and g are onto

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.

Let f: A -> B and g : B -> C be two functions and gof: A -> C is define statement(s) is true? a. If gof is one-one, then f anf g both are one-one b. if gof is one-one, then f is one-one c. If gof is a bijection, then f is one-one and g is onto d. If f and g are both one-one, then gof is one-one.

Consider functions f and g such that composite gof is defined and is one-one.Are f and g both necessarily one-one.

Consider functions f and g such that composite gof is defined and is one-one. Are f and g both necessarily one-one.

Consider functions f and g such that composite gof is defined and is one-one.Are f and g both necessarily one-one.

Consider functions f and g such that composite gof is defined and is oneone. Are f and g both necessarily one-one.

If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, when x is rational and x, when x is irrational then (f-g) is A. one-one and onto B. neither one-one nor onto C. many one and onto D one-one and into

If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, when x is rational and x, when x is irrational then (f-g) is A. one-one and onto B. neither one-one nor onto C. many one and onto D one-one and into