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Let S is relation on set of all differentiable functions from R to R consisting of all pairs (F, G) such that F(x) = G(x)
Let S is relation on set of all differentiable functions from R to R consisting of all pairs
(F, G) such that F(x) = G(x) for all real numbers x.
i. Prove/disprove S is an equivalence relation.
ii. Which functions are in the same equivalence class as F(x) = x2
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