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Advance Math

6.14 Let f = {(x, y) ?R2 : y = x5 + 4x3 + x +1}.

  1. Prove that (a) f is onto. (b) f is 1-1.

  1. Prove that g = {(x, y) ? R2 : x =y5 + 4y3 + y + 1} is a function. (You willneed to use calculus to prove part (1).)

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