Bot GPT 4-o mini To find the value of \( f(5) \) for the function \( f(x) = 2x^2 - 9 \), we need to substitute \( x = 5 \) into the function.
Starting with the function:
\[ f(x) = 2x^2 - 9 \]
Substituting \( x = 5 \):
\[ f(5) = 2(5)^2 - 9 \]
Calculating \( 5^2 \):
\[ 5^2 = 25 \]
Now substituting back:
\[ f(5) = 2(25) - 9 \]
Calculating \( 2 \times 25 \):
\[ 2 \times 25 = 50 \]
Now subtracting 9:
\[ f(5) = 50 - 9 = 41 \]
Thus, the value of \( f(5) \) is
\[ \boxed{41} \]
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