Final answer:
To find f(-5) for the function f(x) = x^2 - 4x + 1, you substitute -5 into the equation and calculate, resulting in f(-5) = 46.
Step-by-step explanation:
To find the value of f(-5) given the function f(x) = x^2 - 4x + 1, we simply substitute x with -5 in the equation:
f(-5) = (-5)^2 - 4(-5) + 1
Compute each term:
- (-5)^2 = 25
- -4(-5) = 20
- 1 is a constant
Now, add them up:
f(-5) = 25 + 20 + 1 = 46
Therefore, f(-5) = 46.