If f(x) = 3x² + 2, what is f(2)?

To find ( f(2) ) when given the function ( f(x) = 3x^2 + 2 ), you substitute ( 2 ) into the function in place of ( x ).

First, calculate ( 3 \times (2)^2 ):

[

(2)^2 = 4

]

[

3 \times 4 = 12

]

Next, add ( 2 ) to this result:

[

12 + 2 = 14

]

Thus, ( f(2) = 14 ). This shows that the function evaluated at ( x = 2 ) yields a value of ( 14 ). Therefore, the correct answer is the one that corresponds to this calculation.