Question: Define a function F: Rx R Rx R as follows: For all (a, b) e R x R, F (a, b) = (a +

Define a function F: Rx R Rx R as follows: For all

Define a function F: Rx R Rx R as follows: For all (a, b) e R x R, F (a, b) = (a + 2b, a). Prove by definition that F a bijection from R x R to itself. 1. Prove that F is one-to-one. 2. Prove that F is onto.

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