Find the inverse of f(x) = 2x + 3. Graph f and f' on the same coordinate axes. Replace f(x) with y in f(x) = 2x + 3 and obtain y = 2x + 3. Now interchange the variables x and y to obtain x = 2y + 3 This equation defines the inverse f implicitly.

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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Find the inverse of f(x) = 2x + 3. Graph f and f' on the same coordinate axes.
Replace f(x) with y in f(x) = 2x + 3 and obtain y = 2x + 3. Now interchange the
variables x and y to obtain
x = 2y + 3
This equation defines the inverse f implicitly.
Transcribed Image Text:Find the inverse of f(x) = 2x + 3. Graph f and f' on the same coordinate axes. Replace f(x) with y in f(x) = 2x + 3 and obtain y = 2x + 3. Now interchange the variables x and y to obtain x = 2y + 3 This equation defines the inverse f implicitly.
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