Let X = {2,4,6} and Y = {a,b,c,d}. Define g : X → Y by the following arrow diagram. (i) Write the domain of g and the co-domain of g. 4 (ii) Find g(2), g(4) and g(6). (iii) What is the range of g? (iv) Is 2 an inverse image of a? Is 4 an inverse image of b? (v) What is the inverse image of b? c? (vi) Is g one-to-one? Why or why not? Is it onto? Why or why not?
Let X = {2,4,6} and Y = {a,b,c,d}. Define g : X → Y by the following arrow diagram. (i) Write the domain of g and the co-domain of g. 4 (ii) Find g(2), g(4) and g(6). (iii) What is the range of g? (iv) Is 2 an inverse image of a? Is 4 an inverse image of b? (v) What is the inverse image of b? c? (vi) Is g one-to-one? Why or why not? Is it onto? Why or why not?
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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Let X = {2,4,6} and Y = {a,b,c,d}. Define g : X → Y by the following arrow diagram. (i) Write the domain of g and the co-domain of g.
4
(ii) Find g(2), g(4) and g(6).
(iii) What is the range of g?
(iv) Is 2 an inverse image of a? Is 4 an inverse image of b?
(v) What is the inverse image of b? c?
(vi) Is g one-to-one? Why or why not? Is it onto? Why or why not?
Transcribed Image Text:egrivaleme
14. Let X = {2, 4, 6} and Y = {a,b, c, d}. Define g : X Y by the following arrow diagram.
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(i) Write the domain of g and the co-domain of g.
2
4
d
4
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