Consider g(y) = 6y(ln( 5y))Determine the intervals on which g is concave down.g is concave down on:g is concave down nowhere.Determine the intervals on

Consider g(y) = 6y(ln( – 5y))³Determine the intervals on which g is concave down.g is concave down on:g is concave down nowhere.Determine the intervals on which g is concave up.g is concave up on:g is concave up nowhere.Determine the value and location of any inflection point of g. Enter the solution in (y, g(y)) form. If multiple solutions exist, use a comma-separated list to enter the solutions.g has an inflection point at:g has no inflection point.