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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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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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