Sj. Let f be a measurable function with domain DER and let ECD be a measurable subset of D. Show that is measurable. f(x) F(x) = { $(2) if x € E 0 if x € D\E

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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3).
Let f be a measurable function with domain D ER and let
ECD be a measurable subset of D. Show that
is measurable.
ƒ(x) = { $(x²)
0
if x € E
if x € DE
Transcribed Image Text:3). Let f be a measurable function with domain D ER and let ECD be a measurable subset of D. Show that is measurable. ƒ(x) = { $(x²) 0 if x € E if x € DE
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