Let \( f(x) = \lfloor x \lfloor x \rfloor \rfloor\) for \(x \ge 0.\)
(a) Find all \(x \ge 0\) such that f(x) = 1.
(b) Find all \(x \ge 0\) such that f(x) = 3.
(c) Find all \(x \ge 0\) such that f(x) = 5.
(d) Find the number of possible values of f(x) for \(0 \le x \le 10.\)
Please help me! I am really confused on how to do this problem.
