Find the open intervals where the function is concave upward or concave downward. Find any inflection points. \( f(x)=\frac{3}{x-1} \) Where is the function concave upward and where is it concave downward? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function is concave upward on the interval(s) \( \square \). The function is concave downward on the interval(s) (Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) C. The function is concave downward on the interval(s) \( \square \). The function is never concave upward. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) D. The function is neither concave downward nor concave upward.
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