Show that if the functions y 0 (x), y 1 (x), form an orthogonal set on an interval x b (with r(x) 1), then the functions y 0 (ct k), y 1 (ct k), , c 0, form an orthogonal set on the interval ( k) c t (b k) c

Question: Show that if the functions y 0 (x), y 1 (x), form an orthogonal set on an interval x

Show that if the functions y₀(x), y₁(x), · · · form an orthogonal set on an interval α ≤ x ≤ b (with r(x) = 1), then the functions y₀(ct + k), y₁(ct + k), · · ·, c > 0, form an orthogonal set on the interval (α - k)/c ≤ t ≤ (b - k)/c.

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