1.26 Consider f(x) = 1/x² restricted to the domain (-∞o, 0). Verify that f is one-to-one on this domain. Determine the domain and range of the inverse of f and find a formula for f-¹.
1.26 Consider f(x) = 1/x² restricted to the domain (-∞o, 0). Verify that f is one-to-one on this domain. Determine the domain and range of the inverse of f and find a formula for f-¹.
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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1.26 Consider f(x) = 1/x² restricted to the domain (-∞o, 0). Verify that f is one-to-one on this domain.
Determine the domain and range of the inverse of f and find a formula for f-¹.
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