2. Consider the following three functions: f : Z+ x Z+ → Z+ f(m, n) = mn h: Rx Z+ → Z+ h(r, y) = 7y +1 g: Z+ → Z g(n) = n – 9 Which 3 of the following statements are true? Only 3 statements are true. A. f is injective (one-to-one). B. f is surjective (onto). C. g is injective (one-to-one). D. g is surjective (onto). E. h is injective (one-to-one). F. h is surjective (onto). G. g is invertible. H. The domain of the composition gof is Z+ I. The codomain of the composition gof is Z

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q2. Consider the following three functions:
f : Z+ x Z+ → Z+
f(m, п) %3D тп
g: Z+ → Z
h: Rx Z+ → Z+
g(n) = n – 9
h(x, y) = 7y +1
Which 3 of the following statements are true? Only 3 statements are true.
A. f is injective (one-to-one).
B. f is surjective (onto).
C. g is injective (one-to-one).
D. g is surjective (onto).
E. h is injective (one-to-one).
F. h is surjective (onto).
G. g is invertible.
H. The domain of the composition gof is Z+
I. The codomain of the composition gof is Z
Transcribed Image Text:Q2. Consider the following three functions: f : Z+ x Z+ → Z+ f(m, п) %3D тп g: Z+ → Z h: Rx Z+ → Z+ g(n) = n – 9 h(x, y) = 7y +1 Which 3 of the following statements are true? Only 3 statements are true. A. f is injective (one-to-one). B. f is surjective (onto). C. g is injective (one-to-one). D. g is surjective (onto). E. h is injective (one-to-one). F. h is surjective (onto). G. g is invertible. H. The domain of the composition gof is Z+ I. The codomain of the composition gof is Z
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