4. a) If you were given a function in the form y = g(x), explain how you would determine the defining equation of its inverse, namely y = g¯¹(x) b) Consider the statement: "If a given relation, f(x), is a function". Does its inverse (f-¹) have to be a function, as well?

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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4. a) If you were given a function in the form y = g(x), explain how you would determine the
defining equation of its inverse, namely y = g¯¹(x)
b) Consider the statement: "If a given relation, f(x), is a function". Does its inverse (f-¹) have
be a function, as well?
Transcribed Image Text:4. a) If you were given a function in the form y = g(x), explain how you would determine the defining equation of its inverse, namely y = g¯¹(x) b) Consider the statement: "If a given relation, f(x), is a function". Does its inverse (f-¹) have be a function, as well?
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