If the solution set for `f (x) < 3` is `(0, oo)` and the solution set for `f (x) >-2` is `(-oo, 5)`, then the true solution set for `(f(x))^2 leq f (x)+ 6`, is

If the solution set for f(x) 2 is (-oo,5) then the true solution set for (f(x))^(2)<=f(x)+6, is

The solution set of |x-1|+|x+5|=6 is:

The solution set of x+ (1)/(x) = (5)/(2) is ……. .

If : f(x)=x^2 and g(x)=2^x, then, the solution set of the equation (f@g)(x)=(g@f)(x) is

If f(x) = x^(2) - 2x + 4 then the set of values of x satisfying f(x - 1) = f(x + 1) is

If f(x)=2ln(x-2)-x^(2)+4x+1, then find the solution set of the inequality f'(x)>=0

If f(x)=2e^(x)-c ln x monotonically increases for every x in(0,oo), then the true set of values of c is

Let f(x)=min{x-[x|,-[-x)],-2lt=xlt=2,g(x)=|2-|x-2||,-2lt=xlt=2 and h(x)=(|sinx|)/sinx,-2 leq x leq2 and x != 0 be three given functions where [x] denotes the greatest integer leq x Then The number of solution(s) of the equation x^2+(f(x^))^2=1(-1 leq x leq 1) is/are

If f(x)=|x+1|-2|x-1| then (A) maximum value of f(x) is 2 (C) there is f(x)=2. (B) there are two solutions of f(x)=1 (D) there are two solutions of f(x)=3