To find \( f(2.6) \) using the function rule \( f(x) = x^2 - 7.25 \), we first need to calculate \( 2.6^2 \).
Calculating \( 2.6^2 \):
\[ 2.6^2 = 6.76 \]
Now we substitute this value back into the function:
\[ f(2.6) = 6.76 - 7.25 \]
Now, we perform the subtraction:
\[ f(2.6) = 6.76 - 7.25 = -0.49 \]
Thus, the answer is:
\[ f(2.6) = -0.49 \]