The set of all real values of `a` so that the range of the function `y = (x^2 +a)/(x +1)` is R, is

If rangr of funtion f (x) whose domain is set of all real numbers is [-2,4], then range of function g (x)=1/2 f (2x+1) is equal to

If rang of fraction f(x) whose domain is set of all real numbers is [-2,4], then range of function g(x)=1/2 f (2x+1) is equal to :

If rang of fraction f(x) whose domain is set of all real numbers is [-2,4], then range of function g(x)=1/2 f (2x+1) is equal to :

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]

The set of all values of a for which the function f(x)=((a^2-1)/3)x^3+(a-1)x^2+2x+1 increases on R, is