If the function f(x) = 3x + 6, what is the value of f(2)?

To find the value of the function ( f(x) = 3x + 6 ) at ( x = 2 ), you simply substitute ( 2 ) in place of ( x ) in the function.

Calculating this, you have:

[

f(2) = 3(2) + 6

]

First, multiply ( 3 ) by ( 2 ):

[

3(2) = 6

]

Then, add ( 6 ):

[

6 + 6 = 12

]

Thus, ( f(2) ) yields a value of ( 12 ).

The correct value for ( f(2) ) is therefore ( 12 ). Options such as ( 10 ), ( 8 ), and ( 6 ) do not represent the result of the calculation based on the defined function, which confirms that ( 12 ) is indeed the correct calculated output.