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- Determine whether each of these functions is a bijection from R to R. f(x) = x^2 + 1 f(x) =(x^2 +1)/(x^2 + 2) f(x) =IxI f(x) =x/26x Let g(x) 6 du. Then u? + 8 g'(x) = (9(2+3x)(2-3x))/((9x^2-2)(9x^2+8)) ΣSuppose X has PDF fX (x) = 4x(1 − x^2) for 0 < x < 1 (0 everywhere else). Find all mediansand modes for X.(a) Find all medians of X.(b) Find all modes of X.