Step 1: Substitute \( x = 2 \) into the function We are given the function \( f(x) = 3x^2 + 5x - 7 \). We need to find \( f(2) \).
Substitute \( x = 2 \) into the function:
\[
f(2) = 3(2)^2 + 5(2) - 7
\]
Step 2: Simplify the expression \[
f(2) = 3(4) + 5(2) - 7
\]
\[
f(2) = 12 + 10 - 7
\]
\[
f(2) = 15
\]
Answer: Therefore, \( f(2) = 15 \). So, the correct answer is option (2).