On the set of continuous functions in the range [−1,1] Which two functions below are perpendicular to each other according to the inner product defined as ⟨f,g⟩=∫1−1f(x)g(x)dx? -1,1] aralığında sürekli fonksiyonların kümesi üzerinde(f, 9) = S f(x)g(x)dx şeklinde tanımlanan iç çarpıma göre aşağıdaki hangi iki fonksiyon birbirine diktir?Lütfen birini seçin:O f(x) = x, g(x) = x²O f(x) = -x, g(x) = 3xO f(x) = 2, g(x) = x²O f(x) = a², g(x) = x*O f(x) = x, g(x) = 2x

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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On the set of continuous functions in the range [−1,1] Which two functions below are perpendicular to each other according to the inner product defined as ⟨f,g⟩=∫1−1f(x)g(x)dx?

-1,1] aralığında sürekli fonksiyonların kümesi üzerinde
(f, 9) = S f(x)g(x)dx şeklinde tanımlanan iç çarpıma göre aşağıdaki hangi iki fonksiyon birbirine diktir?
Lütfen birini seçin:
O f(x) = x, g(x) = x²
O f(x) = -x, g(x) = 3x
O f(x) = 2, g(x) = x²
O f(x) = a², g(x) = x*
O f(x) = x, g(x) = 2x

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