Answered: Let f, g: R → R defined by fx² f(x) =…

Let f, g: R → R defined by fx² f(x) = {2x – 1 if x< 1 if x 2 1 and g(x) = 3x + 2. a. Find f-1 and g-1. b. Determine f •g and gof. %3D

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 30EQ

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Let f, g: R → Rdefined by
f(x):
if x > 1
(2x –1 if x< 1
and g(x) = 3x + 2.
a. Find f-1 and g¬1.
b. Determine f og and gof.

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