Let f: X→ Y and g: Y→ V be functions. Show the following: 3h : Y→X such that ho f = idx (a) f is injective (b) f is surjective 3h : Y→X such that fo h= idy
Let f: X→ Y and g: Y→ V be functions. Show the following: 3h : Y→X such that ho f = idx (a) f is injective (b) f is surjective 3h : Y→X such that fo h= idy
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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Transcribed Image Text:Let f: XY and g: Y→ V be functions. Show the following:
(a) f is injective
3h: Y→X such that ho f = id
(b) f is surjective
3h: Y→X such that foh = idy
Use:
v injective if x1 ‡xn → v(x1) ‡ v(xn)
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