To find \( f(5) \) using the given function rule \( f(x) = (-10 + x)^2 \), we will substitute \( x = 5 \) into the function.
-
Start with the function: \[ f(x) = (-10 + x)^2 \]
-
Substitute \( 5 \) for \( x \): \[ f(5) = (-10 + 5)^2 \]
-
Calculate inside the parentheses: \[ -10 + 5 = -5 \]
-
Now square the result: \[ f(5) = (-5)^2 = 25 \]
So, the value of \( f(5) \) is \( \boxed{25} \).