Answered: Problem 7. Consider the funcrtion f : R…

Problem 7. Consider the funcrtion f : R - {1} → R - {1} given by x+1 x-1 f(x) = Show that f is its own inverse. I.e., (ƒ o f-¹)(x) = x and (f-1 o f)(x) = x for all x € R - {1}.

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.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 26E: Find derivatives of the functions defined as follows. y=4-5x+2

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I need help with this attached question, please

Problem 7. Consider the funcrtion f : R - {1} → R - {1} given by
x+1
x-1
f(x)
=
Show that f is its own inverse. I.e., (ƒ o f-¹)(x) = x and (f-1 o f)(x) = x for all
x € R - {1}.

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