Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than or equal to x. Prove the inverse of f, f−1, does not exist. Note- these are not absolute value brackets.
Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than or equal to x. Prove the inverse of f, f−1, does not exist. Note- these are not absolute value brackets.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 22CR
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Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than or equal to x. Prove the inverse of f, f−1, does not exist.
Note- these are not absolute value brackets.
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