Let [x – 1 when x < 1 f(x) = |In x when x > 1 (a) Is f increasing? (b) Does f have an inverse? If so, what is it?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 6SE: Show that the function fx)=ax is its own inverse for all real numbers a.
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Let
[x – 1 when x < 1
f(x) =
|In x
when x > 1
(a) Is f increasing?
(b) Does f have an inverse? If so, what is it?
Transcribed Image Text:Let [x – 1 when x < 1 f(x) = |In x when x > 1 (a) Is f increasing? (b) Does f have an inverse? If so, what is it?
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