Answer:
0,3, and 6.
Explanation:
The second derivative of the function f is given below:
To find the x-coordinate of the point of inflection, set the second derivative of the function equal to zero and solve for x.
![\begin{gathered} x^2(x-3)(x-6)=0 \\ \implies x^2=0\text{ or }x-3=0\text{ or }x-6=0 \\ \operatorname{\implies}x=0\text{ or }x=3\text{ or }x=6 \end{gathered}]()
The x-coordinates of the point of inflection are 0,3, and 6.