If `f(x) = sqrt(cos(pi/2 - x))/(1- cos(x+pi/2)^(1/3)` and `g(x) = 1/sqrt([sinx])` then range of `g(x) - f(x)` contains

If f(x)=cos^(-1)(x) and g(x)=x^(2) , then range of f(g(x)) is)

If f(x)=(sin^(-1)x+tan^(-1)x)/(pi)+2sqrt(x), then the range of f(x) is

If f(x)=sqrt(2-x) and g(x)=sqrt(1-2x) ,then the domain of f[g(x)] is:

Let f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2) then g(f(x)) is

f(x)=tan x,x in(-(pi)/(2),(pi)/(2)) and g(x)=sqrt(1-x^(2)) then g(f(x)) is

If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1 , then

If g(x) =1+sqrt(x) and f(g(x)) =3+2sqrt(x)+x , then f(x)=

If f ( x) = cos^(-1) ( cos ( x + 1) ) " and " g(x) = sin ^(-1) ( sin (x + 2)) , then f(1) + g (1) = ( pi -1) f (1) gt g(1) f(2) gt g (2) f(2) lt g (2)