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

Let f(x)=tanx, -pi/2 and g(x)= sqrt(1-x^2) . Describe gof.

Define fog(x) and gof(x). Also find their domain and range. f(x) = tan x, x in (-pi/2, pi/2); g(x) = sqrt(1-x^2)

Define fog(x) and gof(x). Also find their domain and range.( i ) f(x)=[x],g(x)=sin x (ii) f(x)=tan x,x in(-(pi)/(2),(pi)/(2));g(x)=sqrt(1-x^(2))

Let g (x )=f ( x- sqrt( 1-x ^(2))) and f ' (x) =1-x ^(2) then g'(x) equal to:

Let g (x )=f ( x- sqrt( 1-x ^(2))) and f ' (x) =1-x ^(2) then g'(x) equal to:

f(x)=(1)/(2)-tan((pi x)/(2)), -1 lt x lt 1 and g(x)=sqrt(3+4x-4x^(2)) then domain of (f+g) is

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : g/f .

If f(x) = sin x tan x and g(x) = x^(2) then in interval x in (0, pi//2) is