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If f(x) equal to (a) 1004 (c) 2007 4.t 4+2 2008 where x € Q, then Σ f(2009) is r=1 (b) 2006 (d) None

If f(x) equal to (a) 1004 (c) 2007 4.t 4+2 2008 where x € Q, then Σ f(2009) is r=1 (b) 2006 (d) None

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 17CT
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If f(x) equal to (a) 1004 (c) 2007 4* 4+2 2008 where x € Q, then (2009) is Σ r=1 (b) 2006 (d) None
Transcribed Image Text:If f(x) equal to (a) 1004 (c) 2007 4* 4+2 2008 where x € Q, then (2009) is Σ r=1 (b) 2006 (d) None
Let f(x) be a function satisfying the functional equation f(x) + f(1 − x) = k, for every x € Q, where k is a constant quantity. Let m be a positive integer. Π Π Π Π Put x = r m + 1 1 \m + 1/ _ \ m+ 1 ΣπF)+Σ,+1=5) m r=l m in the given equation we get r=1 m Σ(+)+2+1) m 22 141) r=1 + m Σ AMF) r=1 m + 1 m where t = m + 1 - r. = mk m mk 2 m = mk = mk
Transcribed Image Text:Let f(x) be a function satisfying the functional equation f(x) + f(1 − x) = k, for every x € Q, where k is a constant quantity. Let m be a positive integer. Π Π Π Π Put x = r m + 1 1 \m + 1/ _ \ m+ 1 ΣπF)+Σ,+1=5) m r=l m in the given equation we get r=1 m Σ(+)+2+1) m 22 141) r=1 + m Σ AMF) r=1 m + 1 m where t = m + 1 - r. = mk m mk 2 m = mk = mk
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