Let f(x) = sin x and g(x) = cos (x) then domain of f(x) + g(x) is :

Find the domain of f(x) = sin^-1 x+ cos x

If f(x)=x-7 and g(x)=sqrt(x) , what is the domain of g@f ?

If f(x) = (3)/(x-2) and g(x) = sqrt(x + 1) , find the domain of f @ g .

If f(x) =4x^2 and g(x) =f(sin x)+f(cos x), then g (23^(@)) is

Let f(x)=sin^(-1)x and g(x)=cos^(-1)x , then which of the following statements are correct?

If f(x)= sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(x)) is (where [*] denotes greatest integer function)

Let y = f (x) such that xy = x+y +1, x in R-{1} and g (x) =x f (x) The minimum value of g (x) is:

Let f (x) = [x] and g (x ) =|x| , AA x in R then value of gof (( - 5 ) /(3)) + fog (( - 5)/(3)) is equal to: ( where f _ 0 g (x) = f (g (x))) .

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals to ........ .