The range of the function` y=( x^2/ (1+x^2))` where x `in` R

The range of the function y=(x+2)/(x^2-8x-4)

The range of the function y=x^(-2//3) is

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

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

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

Find the value of 'alpha' so that range of the function y=(x+1)/(x^(2)+x+alpha) , for x in R always contains the set of values [-(1)/(3), 1]

If f(x)=cot^-1 x ; R^+ -> (0,pi/2) and g(x)=2x-x^2 ; R-> R . Then the range of the function f(g(x)) where verdefined is

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

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

The range of the function y=[x^2]-[x]^2 x in [0,2] (where [] denotes the greatest integer function), is