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4. a) Determine if the credit card number 4147180124197779 has a correct check digit. Is this a Visa, Master or American Express card? b)Let g be a function from X to Y and let f be a function from Y to Z, where X,Y and Z are sets. If the statement is true, prove it; otherwise, give a counter example. "If f and g are one to one and onto, the fog is one-to-one and onto" c) If f (x) = 6 + 27x-1 is a bijective function, does the inverse exist? If yes, find the inverse otherwise expl. why the inverse does not exist.

4. a) Determine if the credit card number 4147180124197779 has a correct check digit. Is this a Visa, Master or American Express card? b)Let g be a function from X to Y and let f be a function from Y to Z, where X,Y and Z are sets. If the statement is true, prove it; otherwise, give a counter example. "If f and g are one to one and onto, the fog is one-to-one and onto" c) If f (x) = 6 + 27x-1 is a bijective function, does the inverse exist? If yes, find the inverse otherwise expl. why the inverse does not exist.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. a) Determine if the credit card number 4147180124197779 has a correct check digit. Is this a Visa, Master or American Express card? b)Let g be a function from X to Y and let f be a function from Y to Z, where X,Y and Z are sets. If the statement is true, prove it; otherwise, give a counter example. "If f and g are one to one and onto, the f • g is one-to-one and onto" c) If f (x) = 6 + 27x-1 is a bijective function, does the inverse exist? If yes, find the inverse otherwise explain why the inverse does not exist.
Transcribed Image Text:4. a) Determine if the credit card number 4147180124197779 has a correct check digit. Is this a Visa, Master or American Express card? b)Let g be a function from X to Y and let f be a function from Y to Z, where X,Y and Z are sets. If the statement is true, prove it; otherwise, give a counter example. "If f and g are one to one and onto, the f • g is one-to-one and onto" c) If f (x) = 6 + 27x-1 is a bijective function, does the inverse exist? If yes, find the inverse otherwise explain why the inverse does not exist.
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