3. Prove that the function f: R – {3} → R - {1} defined by f(x) = , is one-to-one correspondence.
3. Prove that the function f: R – {3} → R - {1} defined by f(x) = , is one-to-one correspondence.
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:3. Prove that the function \( f: \mathbb{R} - \{3\} \to \mathbb{R} - \{1\} \) defined by \( f(x) = \frac{x}{x-3} \) is a **one-to-one correspondence**.
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