Given the function rule f(x)=x^2-5x+1, what is the output of f(-3)

(-3)^2 -5(-3) + 1

= 9 + 15 + 1

To find the output of the function f(-3), we substitute -3 in place of x in the function rule f(x) = x^2 - 5x + 1 and solve for the result.

We substitute -3 for x in the function rule:
f(-3) = (-3)^2 - 5(-3) + 1

Using the order of operations (PEMDAS/BODMAS), we need to simplify the expression within the parentheses first:
f(-3) = 9 + 15 + 1

Next, we perform addition:
f(-3) = 25

Therefore, the output of f(-3) is 25.