Answer:
0, 3, and 6
Explanation:
Given the second derivative of the function, f(x) below:
[tex]f^{\prime}^{\prime}(x)=x^2(x-3)(x-6)[/tex]
To find the x-coordinate of the point of inflection, set the second derivative of the function equal to zeroand solve for x:
[tex]\begin{gathered} x^2(x-3)(x-6)=0 \\ \implies x^2=0,x-3=0,x-6=0 \\ \implies x=0,3,6 \end{gathered}[/tex]
The x-coordinates of the point of inflection are 0, 3, and 6.
