What is the inverse of each of the functions defined by the following equations, if the inverse
exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse
will exist. In each case, give the domain and range of both the function and its inverse.
a. f(x) = x^2n + x^n + 1
b. g(x) = (x^2-4)^(1/2)
c. h(x) = (x)/(x^3)
d. S(x) = 1/2 (e^x - e^-x)