Let A = {1,2,3,4, 5, 6} and let f:A → A be given by f(x) ={ 5 fx +1 if x± 6 if x = 6 a. Find f(6), f(f(2)). b. Find the preimage of 2, 1. c. Show that fis a one-to-one correspondence.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let A = {1,2,3, 4, 5, 6} and let f: A → A be given by
(x +1 if x + 6
5
if x = 6
f(x) =
a. Find f(6), f(f(2)).
b. Find the preimage of 2, 1.
c. Show that f is a one-to-one correspondence.
Transcribed Image Text:Let A = {1,2,3, 4, 5, 6} and let f: A → A be given by (x +1 if x + 6 5 if x = 6 f(x) = a. Find f(6), f(f(2)). b. Find the preimage of 2, 1. c. Show that f is a one-to-one correspondence.
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