Respuesta :

when x = 6, you have to use the top equation .... because -6 < 6 < 9

f(x) = 6x² + 2

f(6) = 6(6)² + 2

     =  6(36) + 2

     =  216  + 2

     = 218

Answer: D


Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

[tex]f(x)=6x^2+2,-6<x<9\\\\f(x)=12,9\leq x<13[/tex]

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 [tex]6x^2+2[/tex]

So, value of f(x) at x = 6 would be

[tex]f(x)=6(6)^2+2=216+2=218[/tex]

Hence, fourth option is correct.