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Check the injective and surjective of the following functions : f : Z rarr Z given by f(x) = x^3 |
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Answer» SOLUTION :We have `F(x_1) = f(x_2)` `implies x_1^3 = x_2^3 implies x_1 = x_2` for all `x_1, x_2` in Z `therefore` f is not SURJECTIVE |
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