Problem 11. Consider the function ax + b cx + d f(x) = a, b, c, d are constants Find a relation between the coefficients a, b,c and d that makes f its own inverse. That is: (fof)(x) = x for all x in the domain of f. =

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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Problem 11. Consider the function
ax + b
cx + d
f(x) =
a, b, c, d are constants
Find a relation between the coefficients a, b, c and d that makes f its own inverse. That
is: (fof)(x) = x for all x in the domain of f.
=
Transcribed Image Text:Problem 11. Consider the function ax + b cx + d f(x) = a, b, c, d are constants Find a relation between the coefficients a, b, c and d that makes f its own inverse. That is: (fof)(x) = x for all x in the domain of f. =
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