Abstract
This thesis explores the behavior of solutions of the functional equation f-1(x)= 1/f(x) for x ε Dom(f), where f is a real-valued function of a real variable. It is quite common to mistake the notation f-1, which means the inverse of f with respect to composition with the inverse of f with respect to multiplication, usually denoted by 1/f. This thesis shows that although f-1 and 1/f are usually different function, they do indeed sometimes represent the same function. This thesis will also provide methods of generating solutions of the functional equation f-1(x)= 1/f(x) for x ε Dom(f).
Graduation Date
1995
Semester
Summer
Advisor
Sherwood, Howard
Degree
Master of Science (M.S.)
College
College of Arts and Sciences
Department
Mathematics
Format
Pages
51 p.
Language
English
Rights
Written permission granted by copyright holder to the University of Central Florida Libraries to digitize and distribute for nonprofit, educational purposes.
Length of Campus-only Access
None
Access Status
Masters Thesis (Open Access)
Identifier
DP0019492
Subjects
Arts and Sciences -- Dissertations, Academic; Dissertations, Academic -- Arts and Sciences
STARS Citation
Anschuetz, Robert Rudolph, "Behavior of the Solutions to a Functional Equation Which Equates a Function's Inverse to its Reciprocal" (1995). Retrospective Theses and Dissertations. 3139.
https://stars.library.ucf.edu/rtd/3139
Contributor (Linked data)
Accessibility Status
Searchable text