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Indicate whether the following statements are true or false and justify the answer. (I) If f...

Indicate whether the following statements are true or false and justify the answer.
(I) If f and g are functions defined for all real numbers, and f is an even function, then f o g is also an even function.
(II) If a function f, defined for all real numbers, satisfies the the equation f(0) = f(1), then f does not have an inverse function.

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