6) Let f(x) be a BV function over the interval [0, 1], and let p(x) be a polynomial. Show that h(x) = p(f(x)) is BV on this interval as well.
6) Let f(x) be a BV function over the interval [0, 1], and let p(x) be a polynomial. Show that h(x) = p(f(x)) is BV on this interval as well.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
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![6) Let f(x) be a BV function over the interval [0, 1], and let p(x) be a polynomial. Show that
h(x) = p(f(x)) is BV on this interval as well.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52d2dd6f-6ff9-45b4-bc92-9c80648934a4%2F62085b39-316d-46a8-afb3-fa13f370a271%2F3ur658g_processed.png&w=3840&q=75)
Transcribed Image Text:6) Let f(x) be a BV function over the interval [0, 1], and let p(x) be a polynomial. Show that
h(x) = p(f(x)) is BV on this interval as well.
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