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f(x) = x – 3 Use A = R\ {3} = (-0, 3) U (3, 0) as domain. 1. Prove or disprove that f is 1-1. 2. What is the image B = im(f)CR of f. 3. Find g : B –→ A so that it is the inverse of f : A → B.

f(x) = x – 3 Use A = R\ {3} = (-0, 3) U (3, 0) as domain. 1. Prove or disprove that f is 1-1. 2. What is the image B = im(f)CR of f. 3. Find g : B –→ A so that it is the inverse of f : A → B.

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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f(x) = x – 3 Use A = R\ {3} = (-0, 3) U (3, 0) as domain. 1. Prove or disprove that f is 1-1. 2. What is the image B = im(f)CR of f. 3. Find g : B –→ A so that it is the inverse of f : A → B.
Transcribed Image Text:f(x) = x – 3 Use A = R\ {3} = (-0, 3) U (3, 0) as domain. 1. Prove or disprove that f is 1-1. 2. What is the image B = im(f)CR of f. 3. Find g : B –→ A so that it is the inverse of f : A → B.
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