Question: Use mean value theorem to prove: If f(x) = g(x) on the interval I , then f(x) and g(x) differ by a constant (that is,

Use mean valuetheorem to prove:Iff(x) = g(x)on the intervalI, thenf(x)andg(x)differ by a constant (that is,f(x) = g(x) + kfor some constantk).

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