The range of `alpha` such that the range of `f(x)=((x^3-3x-6)(x-alpha))/(2(x-alpha))` be always complete set of R, is ?

Find the range of f(x)=|x^(2)-3x+2|

What is the range of f(x)=x^(3)-sqrt(-x-6) ?

Range of f(x) = |x-3| is

Find the domain and the range of f(x)=sqrt(x^2-3x.)

Range of f(x) = ln(3x^2-4x+5) 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]

Range of the function f(x)=(x^2-3x+2)/(x^2+x-6) is

if f(x)=(sin (x+alpha)/(sin(x+beta))),alpha ne beta then f(x) has

Find the range of (alpha,2+alpha) and ((3alpha)/2,a^2) lie on the opposite sides of the line 2x+3y=6.

If alpha is a roots equations 4x^2+2x-1=0andf(x)=4x^3-3x+1,then2(f(alpha)+alpha) is