What is the range of y = (x + 2) / (x ^ 2 + 3x + 6)? Urgent, thank you!

What is the range of y = (x + 2) / (x ^ 2 + 3x + 6)? Urgent, thank you!

To find the range is to find the minimum and maximum of the equation
First, the first derivative of the equation dy / DX = 1 / (x ^ 2 + 3 * x + 6) - (x + 2) / (x ^ 2 + 3 * x + 6) ^ 2 * (2 * x + 3)
Then let dy / DX = 0 and find x = 0 or - 4
The original equation: Y (0) = 0.3333, y (- 4) = - 0.2
Then the minimum value of the equation is - 0.2 and the maximum value is 0.3333