To find the value of \( f(5) \) for the function \( f(x) = 2x^2 - 9 \), we substitute \( x = 5 \) into the function:
\[ f(5) = 2(5)^2 - 9 \]
First, calculate \( (5)^2 \):
\[ (5)^2 = 25 \]
Now, substitute this back into the equation:
\[ f(5) = 2 \times 25 - 9 \]
Next, calculate \( 2 \times 25 \):
\[ 2 \times 25 = 50 \]
Now substitute that value in:
\[ f(5) = 50 - 9 \]
Finally, perform the subtraction:
\[ f(5) = 41 \]
Thus, the value of \( f(5) \) is \( \boxed{41} \).