STATEMENT-1: `f(x)=x^(3)` is a one-one function .
and
STATEMENT-2 : Any monotonic function is a one-one function .

Statement 1: f(x)=x^(3) is a one-one function. Statement 2: Any monotonic function is a one-one function.

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

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

Formula f(x)=x^2 defines a one-one function when

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.

Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) such that m!=n 1) f is one one into function2) f is one one onto function3) f is many one into funciton4) f is many one onto function then

Is the function f(x)=absx one on one?

STATEMENT -1 : The function f : [-1,1] to [0,pi],f(x)=cos^(-1)x is not one-one. and STATEMENT -2 :The function f : (-oo,oo)to[-1,1],f(x)=cosx is not one-one.

STATEMENT -1 : The function f : [-1,1] to [0,pi],f(x)=cos^(-1)x is not one-one. and STATEMENT -2 :The function f : (-oo,oo)to[-1,1],f(x)=cosx is not one-one.