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

Find the complete set of values of a such that (x^(2)-x)/(1-ax) 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:

f(x)=log_(2)(x^(4)+a). Let P be the set of values of of a for which for which f(x) is defined AA x in R&Q be the set of values of of a for which f(x) attains all real values,then the number of element in P nn Q is

Let f(x)={(-x^(3)+log_(2)a,0<=x<1),(3x,1<=x<=3)} ,the complete set of real values of a for which f(x) has smallest value at x=1 is

Find all the real values of x such that (2x-1)/(2x^3+3x^2+x)gt0

If x is ral and 4y ^(2)+4 xy +x +6=0, then the complete set of values of x for which y is real, is :

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 set of values of k for which x^(2)-kx+sin^(-1)(sin4)>0 for all real x is

Find the set of values attainable by (x^(2)-3x+4)/(x^(2)+3x+4)