Use the zeros of 3 and transformations of the given interval to construct an interpolating polynomial of

Question:

Use the zeros of 3 and transformations of the given interval to construct an interpolating polynomial of degree 2 for the following functions.
a. f (x) = 1/x , [1, 3]
b. f (x) = e−x , [0, 2]
c. f (x) = 1/2 cos x + 1/3 sin 2x, [0, 1]
d. f (x) = x ln x, [1, 3]