Question 1Show that if f and g are functions on a finite set A and both one-to-one, then thef is one-to-one.composite function g oUploadChoose a FileQuestion 2Show that the set A listed below is a countably infinite set.= {5n + 2 ne N}UploadChoose a File

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Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.7: Combining Functions

Problem 5E

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Determine if the given expression is a function or not, if it's a function show that if its a one to one function or an onto function: let f : ℤ→ℤ and f(x) = x² - 4 - 12 This question is related to discrete mathematics
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Show that if f and g are functions on a finite set A and both one-to-one, then the composite function g o f is one-to-one.