Answer :

To find the value of [tex]\( f(12) \)[/tex], we substitute 12 into the function [tex]\( f(n) = -3n + 2 \)[/tex].

Here are the steps:

1. Substitute 12 into the function for [tex]\( n \)[/tex]:
[tex]\[
f(12) = -3 \times 12 + 2
\][/tex]

2. Multiply [tex]\( -3 \)[/tex] by 12:
[tex]\[
-3 \times 12 = -36
\][/tex]

3. Add 2 to the result from step 2:
[tex]\[
-36 + 2 = -34
\][/tex]

Therefore, the value of [tex]\( f(12) \)[/tex] is [tex]\(-34\)[/tex].

The correct answer is: C. -34

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