Given function f(x) = -5x + 8.
To find f(x-1), we substitute (x-1) in place of x in the function f(x).
Therefore, f(x-1) = -5(x-1) + 8.
Simplify the expression:
f(x-1) = -5x + 5 + 8.
Combine like terms:
f(x-1) = -5x + 13.
Therefore, \boxed{f(x-1) = -5x + 13}.