To find \( f(5) \) for the function \( f(x) = 3x + 2 \), follow these steps:
1. Start by substituting \( x = 5 \) into the function \( f(x) \).
2. The function is defined as \( f(x) = 3x + 2 \). Therefore, we replace \( x \) with 5:
[tex]\[
f(5) = 3(5) + 2
\][/tex]
3. Perform the multiplication first, according to the order of operations:
[tex]\[
3 \times 5 = 15
\][/tex]
4. Then, add 2 to the result of the multiplication:
[tex]\[
15 + 2 = 17
\][/tex]
So, \( f(5) = 17 \).
Thus, the correct answer is:
A. 17
