A function f has the following verbal description: multiply by 3, add 5, and
then take the third power of the result.
(a) Write a verbal description for the inverse of f.
(b) Find algebraic formulas for f and f−1
in terms of the input x.
(c) Check that the two functions are inverses by finding the compositions: f ◦f−1 and
f−1 ◦f.
