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

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

• A. 12
• B. 10
• C. 8
• D. 6

Answer: (B)

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.

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.