A function and its inverse function The function  is one-to-one for x > −1 and has an i...

A function and its inverse function The function  is one-to-one for x > −1 and has an inverse on that interval.

a. Graph f for x > −1.

b. Find the inverse function f−1 corresponding to the function graphed in part (a). Graph f−1 on the same set of axes as in part (a).

c. Evaluate the derivative of f−1 at the point .

d. Sketch the tangent lines on the graphs of f and f−1 at  and , respectively.