Let (X, d) be a metric space, and p: X→ IR doxy) I+desy) de fined by puM pusy) = %3D show that p is a metric.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 17RE
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3. Let (X, d) be
a metric
and
P: X→IR
space,
desy)
(+ doxy)
de fined by uM pusy) =
show that p
P is a metric.
Transcribed Image Text:3. Let (X, d) be a metric and P: X→IR space, desy) (+ doxy) de fined by uM pusy) = show that p P is a metric.
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