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2. (6 pts) Let X = {1,2,3,4} and Y = {a,b,c} and define g: XY by specifying that g(1) = c, g(2) = a, g(3)=b, g(4) = c. (a). Sketch an arrow diagram. (b). Is g and function? Explain your answer. (c). Let A = {b,c}. Find g¹(A) or explain why it cannot be found.

2. (6 pts) Let X = {1,2,3,4} and Y = {a,b,c} and define g: XY by specifying that g(1) = c, g(2) = a, g(3)=b, g(4) = c. (a). Sketch an arrow diagram. (b). Is g and function? Explain your answer. (c). Let A = {b,c}. Find g¹(A) or explain why it cannot be found.

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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2. (6 pts) Let X = {1,2,3,4} and Y = {a,b,c} and define g: X→Y by specifying that g(1) = c, g(2) = a, g(3) = b, g(4) = c. (a). Sketch an arrow diagram. (b). Is g and function? Explain your answer. (c). Let A = {b,c}. Find g ¹(A) or explain why it cannot be found.
Transcribed Image Text:2. (6 pts) Let X = {1,2,3,4} and Y = {a,b,c} and define g: X→Y by specifying that g(1) = c, g(2) = a, g(3) = b, g(4) = c. (a). Sketch an arrow diagram. (b). Is g and function? Explain your answer. (c). Let A = {b,c}. Find g ¹(A) or explain why it cannot be found.
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