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.

Guest Sep 23, 2021