Let `g(x)=1/((1-x^2).` Then, Range (g)=?

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

Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3) . Then find g'(x) in terms of g(x).

Let f(x)=(1)/(1+x^(2)) and g(x) is the inverse of f(x) ,then find g(x)

Let g:[1,3]rarrY be a function defined as g(x)=In(x^2+3x+1) .Then find g^(-1)(x) if it exist.

Let f(x)=((x^2,x lt1),(x+1,x ge1)); g(x)=((x+2, x lt1),(x^2,x ge1)) Then range of function f(g(x)) is

Let f(x) = e^(x)g(x) , g(0)=2 and g (0)=1 , then find f'(0) .

Let g(x)=2f((x)/(2))+f(1-x) and f'(x)<0 in 0<=x<=1 then g(x)

Let A, B, C in N and a function f:A to B be defined by f(x)=2x+1 and g: B to C be defined by g(x)=x^(2) . Find the range of fog and gof.

Let A, B, C in N and a function f:A to B be defined by f(x)=2x+1 and g: B to C be defined by g(x)=x^(2) . Find the range of fog and gof.