The range of the function `sin^(-1)((x^(2))/(1+x^(2)))` is

The range of the function sin^(-1)(x^(2)+2x),x>0 is

The range of the function f(x)=x^(2)+(1)/(x^(2)+1) is

The range of the function sin^-1(x^2+2 x),x > 0 is

" The range of the function "f(x)=sin(sin^(-1)[x^(2)-1])" is (where "[" .] represents greatest integer function) "

The range of the function f(x)=sin(sin^(-1)[x^(2)-1]) is (where[*] represents greatest integer function)

Statement I : The range of the function f(x)=(sin([x]pi))/(x^(2)+x+1) is {0} Statement II : The range of the function f(x)=(x-[x])/(1+x-[x]) is [0, 1/2) .

Range of the function f(x)=x^(2)+(1)/(x^(2)+1) is

The range of the function f(x)=sin cos(ln((x^(2)+1)/(x^(2)+e))) is