Abstract

This thesis explores the behavior of solutions of the functional equation f-1(x) = for x 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 . This thesis shows that although f-1 and are usually different functions, they do indeed sometimes represent the same function. This thesis will also provide methods of generating solutions of the functional equation f-1(x) = f for x 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

PDF

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

Included in

Mathematics Commons

Share

COinS