Find the open intervals where the function fx 3 x6 is conc

Find the open intervals where the function f(x) = -3 / (x-6) is concave upward or concave downward. Find any inflection points. Select the correct choice below and fill in any answer boxes within your choice. The function has a point of inflection at (Type an ordered pair. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) The function does not have an inflection point. Select the correct choice below and fill in any answer boxes within your choice. The function is concave upward on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) The function is never concave upward. Select the correct choice below and fill in any answer boxes within your choice. The function is concave downward on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) The function is never concave downward.

Solution

A- AT X=6 A X<6 A X>6