`f(x)` be a differentiable function such that `f'(x) =1/(log_3(log_(1/4)(cosx+a)))`. If `f(x)` is increasing for all values of x, then

Let f(x) be a function such that f(x)=log_((1)/(3))(log_(3)(sin x+a)). If f(x) is decreasing for all real values of x, then

Let f(x) be a function such that f'(x)=log_(1//3)[log_(3)(sinx+a)] . If f(x) is decreasing for all real values of x , then

Let f(x) be a function such that f'(x) = log_(1//3) [log_(3) (sin x + a)] .If f(x) is decreasing for all real values of x, then a) a in (1, 4) b) a in (4, oo) c) a in (2, 3) d) a in (2, oo)

Let f(x) be a function such that f'(x)=log_(1/3) [log_(3)(sin x+a)] . If f(x) is decreasing for all real values of x then a gt k , find k.

Let f(x) be a function such that f(x)=log_((1)/(2))[log_(3)(sin x+a]. If f(x) is decreasing for all real values of x, then a in(1,4)( b) a in(4,oo)a in(2,3)(d)a in(2,oo)

f(x)=ln(ln x)(x>1) is increasing in

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:

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:

The domain of the function f(x) =1/(3-log_(3)(x-3)) is

If f is a real function, find the domain of f(x)=(1)/(log|x|)