The function `f (x)` given by `f(x) =sin^(-1)((2x)/(1+x^2))` is

Statement-1: The function f(x) given by f(x)=sin^(-1){log(x+sqrt(x^(2)+1))} is an odd function. Statement:2 The composition of two odd functions is an odd function.

Statement-1: The function f(x) given by f(x)=sin^(-1){log(x+sqrt(x^(2)+1))} is an odd function. Statement:2 The composition of two odd functions is an odd function.

The domain of the function f(x) given by f(x)=(sqrt(4-x^(2)))/(sin^(-1)(2-x)) is

The domain of the function f(x) given by f(x)=(sqrt(4-x^(2)))/(sin^(-1)(2-x)) is

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

The domain of the function f given by f(x)=(x^(2)+2x+1)/(x^(2)-x-6)

The domain of the function f given by f(x)=(x^(2)+2x+1)/(x^(2)-x-6)

The domain of the function f given by f(x) = (x^(2)+ 2x+ 1)/(x^(2) - 5x+6)

The domain of the function f given by f(x)= (x^(2) + 2x + 1)/(x^(2)-x-6)