Answer: Fourth option is correct.
Explanation:
Since we have given that
![f(x)=6x^2+2,-6<x<9\\\\f(x)=12,9\leq x<13](https://img.qammunity.org/2019/formulas/mathematics/middle-school/vrihm9j9433y0jeijwt2hcbss0l9d4dxwq.png)
We need to find the value of f(x) when x = 6.
As we can see that x = 6 is lie in the interval -6<x<9.
So, f(x) would be
![6x^2+2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7b9unoiteltjrkrnm590j0j52g84q3g5fl.png)
So, value of f(x) at x = 6 would be
![f(x)=6(6)^2+2=216+2=218](https://img.qammunity.org/2019/formulas/mathematics/middle-school/5wsye0ebnvplgvesh1xzi7vgb4bam4mdwz.png)
Hence, fourth option is correct.