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(a) Consider the following Z * Z Z functions f, g and Z Z function h: 2x + 1, if x is even, f(x, y)

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(a) Consider the following Z * Z Z functions f, g and Z Z function h: 2x + 1, if x is even, f(x, y) = x2 y?, g(x, y) = 2x y, h(a) = { { 2 if x is odd. Which of these functions is one-to-one? Which of them is onto? What is the range of h? (b) Determine which of the following functions is a bijection from R to R: - fi(x) = -3x + 4 - $2(x) = -3x2 + 7 - $3(x) = (x + 1)/(x+2) - $4(x) = x5 + 1

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