6. Let [a, b] be a closed, bounded, nondegenerate interval. Find all functions I that satisfy the...

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6. Let [a, b] be a closed, bounded, nondegenerate interval. Find all functions I that satisfy the following conditions for some fixed O! > 0: I is continuous and I-Ion [a, b], I'(x) =I- 0 and I'(x) = O!(I-l )'(I(x)) for all x E

(a, b).

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