If two real functions f and g are defined respectively by `f(x)=sqrt(x+1) and g(x)=sqrt(x-1),` then the find the values of `(f)/(g)(1) and (g)/(f)(1).` Also find the domain of definitions of `(f)/(g) and (g)/(f).`

Answer

`(f)/(g)(1)"does not exist",(g)/(f)(1)=0,"domain of definition of "(f)/(g)" is "(1,oo)"and that of "(g)/(f)"is "[1,oo)`