Let f, g: R→R be defined by f (x) = {4x + 1 , if x ≥0,    x , if x < 0} g(x) = {3x , if x ≥0 ,  x + 3 , if x < 0.} Find the inverse of f ◦g.

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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Let f, g: R→R be defined by
f (x) = {4x + 1 , if x ≥0,    x , if x < 0}

g(x) = {3x , if x ≥0 ,  x + 3 , if x < 0.}

Find the inverse of f ◦g.

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