6. Suppose that the function f: X→ Y is a one to one and onto, with inverse ¹Y → X. Show that fof=1, and fo f¹ = ly-
6. Suppose that the function f: X→ Y is a one to one and onto, with inverse ¹Y → X. Show that fof=1, and fo f¹ = ly-
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 28E
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![6. Suppose that the function f:X → Y is a one to one and onto, with inverse f: Y→ X.
Show that fof=1, and fo f¹ = 1₂.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9656a833-2928-468d-bda4-7d65920b0a10%2Fce7dbd2f-3a0f-4123-acba-b1e02fd28595%2Fixrzr8_processed.png&w=3840&q=75)
Transcribed Image Text:6. Suppose that the function f:X → Y is a one to one and onto, with inverse f: Y→ X.
Show that fof=1, and fo f¹ = 1₂.
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