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Question 5: Given the function f: [-2, ∞) x R-Rx [-5, ∞) given by f(x, y) = (y³-4+5x, x² + 4x-1) show that f is bijective and find it's inverse.

Question 5: Given the function f: [-2, ∞) x R-Rx [-5, ∞) given by f(x, y) = (y³-4+5x, x² + 4x-1) show that f is bijective and find it's inverse.

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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Question 5: Given the function f: [-2, ∞) x R → Rx [-5, ∞) given by f(x, y) = (y³-4+5x, x² + 4x - 1) show that f is bijective and find it's inverse.
Transcribed Image Text:Question 5: Given the function f: [-2, ∞) x R → Rx [-5, ∞) given by f(x, y) = (y³-4+5x, x² + 4x - 1) show that f is bijective and find it's inverse.
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