+288 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 \(0 \le x \le 10\)
Hint: Divide into cases, based on the value of \(\lfloor x \rfloor. \)
-------------Thanks! 
(Note that (a), (b) and (c) are subquestions that lead up to the "total question," (d).)
