Domain of F Co-domain of F X Y F a • d• Domain of G Co-domain of G X Y G a • b e of d• a. Is F one-to-one? Why or why not? Is it onto? Why or why not? b. Is G one-to-one? Why or why not? Is it onto? Why or .... ...

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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7. Let X = {a, b, c, d} and Y = {e, ƒ, g}. Define functions F
and G by the arrow diagrams below.
Domain of F
Co-domain of F
X
Y
F
а
b
се
de
Domain of G
Co-domain of G
X
Y
G
a •
b.
of
d
a. Is F one-to-one? Why or why not? Is it onto? Why or
why not?
b. Is G one-to-one? Why or why not? Is it onto? Why or
why not?
Transcribed Image Text:7. Let X = {a, b, c, d} and Y = {e, ƒ, g}. Define functions F and G by the arrow diagrams below. Domain of F Co-domain of F X Y F а b се de Domain of G Co-domain of G X Y G a • b. of d a. Is F one-to-one? Why or why not? Is it onto? Why or why not? b. Is G one-to-one? Why or why not? Is it onto? Why or why not?
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