Find the sign of `6x^(2)-5x+1` for all real value of x.

7.Find the greatest value of 3+5x-2x^(2) for all real values of x .

Find the domain of each of the following real valued function: f(x)=(x^2+3x+5)/(x^2-5x+4)

Find the set of all real values of a for which equation (x)/(x^(2)-5x+9)=a posses atleast one real solution.

Find the set of all possible real value of a such that the inequality (x-(a-1))(x-(a^(2)+2))<0 holds for all x in(-1,3)

The difference of maximum values of the expressions (6 + 5x - x^(2)) and (y - 6 -y^(2)) for any real values of x and y is

Find the values 'a' for which the function f(x)=(a+2)x^(3)-3ax^(2)+9ax-1 decreases for all real values of x

Find the minimum value of f(X)=x^(2)-5x+6 .

Let (f(x+y)-f(x))/(2)=(f(y)-a)/(2)+xy for all real x and y. If f(x) is differentiable and f'(0) exists for all real permissible value of a and is equal to sqrt(5a-1)-a^(2). Then f(x) is positive for all real xf(x) is negative for all real xf(x)=0 has real roots Nothing can be said about the sign of f(x)

If |x^(2)-4x-5|+|x^(2)-x-2|=3|x+1| then set of all real values of x is

If x is real then (x^(2)-x+c)/(x^(2)+x+2c) can take all real values if