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Archangel Macsika

Determine whether each of these functions is a bijection from R to R. f (x) = (x2 + 1)/(x2 + 2)

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f(x) = \frac{x^2+1}{x^2+2} \\ For \; x=-1 => f(x) = \frac{1+1}{1+2}= \frac{2}{3} \\ For\; x=1 => f(x) = \frac{1+1}{1+2}= \frac{2}{3}

=> Not one-to-one function

=> Not a bijective (no inverse exists)


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Question ID: mtid-5-stid-8-sqid-2620-qpid-1090