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    Qn : Does a continuous function always have a fixed point in [0, 1]?

    I hope someone can help me wif this qnestion. Qn : Let f ; g be continuous functions from [0, 1] onto [0, 1]. Prove that there is x0 ∈ [0, 1] such that f (g(x0)) = g(f (x0)). Thanks in advance.
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