MATH1050: nth Roots
Instructor: Laura Strube
Name:
Student ID:
Answer the questions in the spaces provided or copy the questions neatly on
your own paper
1. (5 points) Find the inverse for the following functions and then check your work by
check to see that f ◦ f −1 (x) = x and f −1 ◦ f (x) = x. Show your work. The “checking
your work” steps will be graded.
(a) f (x) = 2x3 + 5
1
√
(b) f (x) = 2 x − 1
(c) f (x) =
x−2
x−3
)3
(d) f (x) = ( x−2
x−3
2. Using the included graph paper, graph the following:
(a) f (x) = 2x3 + 5, it’s inverse, and the identity function on the same graph.
√
(b) f (x) = 2 x − 1, it’s inverse, and the identity function on the same graph.