In Exercises 149 and 150, find the absolute maxima and minima of the functions and give the x-coordinates where they occur. 149. ƒ(x) = e^( x/sqrt(x4+1) ) 150. g(x) = e^(sqrt(3-2x-x2))

Let f(x)= square root of x-1 plus 3. a. Find the domain and range of f(x).  b. Graph f(x). Then find the graph of f^-1(x) by reflecting the graph across the line y=x.  c. Find the algebraic form of the inverse function, f^-1(x).  d. Complete the sentence: The domain of f(x) is equal to the _______ of f^-1(x), and the range of f(x) is equal to the _______ of f^-1(x).  e. Find the domain and range of f^-1(x) Found in c.