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b. f(x)+h(x) = x²-1+2/(x+1) = (x²-1)(x+1)+2 / (x+1) = x³+x²-x+1 / x+1
c. h(x)-g(x) = 2/(x+1)-(2x+3) = 2-(x+1)(2x+3) / x+1 = 2x²+5x+1 / 1-x
d. g(x)-h(x) = 2x+3-2/(x+1) = (2x+3)(x+1)-2 / x+1 = 2x²+5x+1 / x+1