Step 1: Substitute the value \( x = 3 \) into the function
The provided function is \( f(x) = 2x^2 - 3x + 5 \). The objective is to compute \( f(3) \).
Replace \( x \) with \( 3 \) in the function: \[ f(3) = 2(3)^2 - 3(3) + 5 \]
Step 2: Evaluate the expression
\[ f(3) = 2(9) - 9 + 5 = 18 - 9 + 5 = 18 \]
Result:
Consequently, \( f(3) = 18 \). The correct option is (2).