10.55. Let A = R – {1} and define f : A → A by f (æ) =, for all æ E A. a. Prove that f is bijective. b. Determine f1. c. Determine fo f o f.

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10.55

10.55. Let A = R – {1} and define f : A → A by f (x)= ,", for all x E A.
a. Prove that f is bijective.
b. Determine f-1.
c. Determine f o fo f.
Transcribed Image Text:10.55. Let A = R – {1} and define f : A → A by f (x)= ,", for all x E A. a. Prove that f is bijective. b. Determine f-1. c. Determine f o fo f.
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