Let `g: Rrarr(0,pi/3)` be defined by `g(x)=cos^(-1)((x^2-k)/(1+x^2))` . Then find the possible values of `k` for which `g` is a surjective function.

Let the function g be defined by g(x)=5x+2 . If sqrt(g((a)/(2)))=6 , what is the value of a?

Let a function of 2 variables be defined by g(x, y)=xy+3xy^(2)-(x-y^(2)) , what is the value of g(2, -1) ?

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Two functions f(x)a n dg(x) are defined as f(x)=(log)_3|(x-2)/(x^2-10 x+24)| and g(x)=cos^(-1)((x-2)/3), then find the number of even integers for which (f(x)+g(x)) is defined.

Consider the function g(x) defined as g(x) (x^(2011-1)-1)=(x+1)(x^2+1)(x^4+1)...(x^(2^(2010))+1)-1 . Then the value of g(2) is equal to

If the function f(x)=x^3+e^(x/2) and g(x)=f ^(−1)(x) , then the value of g ′ (1) is

If f(x) = 2 sinx, g(x) = cos^(2) x , then the value of (f+g)((pi)/(3))