(b) If f(x)= |x-1| is now restricted to the domain x ≥1, find f¹(x) and state its domain and range.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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please help with question b.

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Given the function f(x)= |x-1|:
(a) explain why f(x)= |x-1| does not have an inverse function over its natural domain.
(b) If f(x) = |x-1| is now restricted to the domain x ≥1, find f'(x) and state its domain and range.
Transcribed Image Text:Given the function f(x)= |x-1|: (a) explain why f(x)= |x-1| does not have an inverse function over its natural domain. (b) If f(x) = |x-1| is now restricted to the domain x ≥1, find f'(x) and state its domain and range.
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