Find the complete set of values of `a` such that `(x^2-x)/(1-a x)` attains all real values.

Let f(x) be a function such that f '(x)= log _(1//3) (log _(3) (sin x+ a)). The complete set of values of 'a' for which f (x) is strictly decreasing for all real values of x is:

Find the complete set of values of alpha for which the function f(x) = {(x+1,xlt1 alpha , x =1 , is strictly increasing x=1 x^(2)-x+3,xlt1

Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) assumes all real values for all real values of x

Find the complete set of values of lambda, for which the function f(x)={x+1,x 1 is strictly increasing at x=1

The complete set of values of a for which the roots of the equatin x ^(2) -2 |a+1| x +1 =0 are real is given by :

Complete set of values of x satisfying inequality ||x-1|-5| lt 2x -5 is

f : R -> R , where f(x)=(x^2+ax+1)/(x^2+x+1) Complete set of values of 'a' such that f (x) is onto, is

The complete set of values of x for which (x^(3)(x-1)^(2)(x+4))/((x+1)(x-3)) ge 0 is

Write the set of values of ' a ' for which the equation x^2+a x-1=0 has real roots.

The number of integral values of K' the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....