Suppose f(x) is a function such that f(x) + x = f(y) + y for all real numbers x and y. If f(-1) = 5 then compute f(-1001).
As follows:
\(f(-1) - 1 =f(-1001) - 1001\\ 5 - 1= f(-1001)-1001\\f(-1001)=1005\)
