Let f(x) = x + floor(x).

(a) Find all x >= 0 such that f(x) = 1.

(b) Find all x >= 0 such that f(x) = 3.

(c) Find all x >= 0 such that f(x) = 5.

(d) Find the number of possible values of f(x) for 0 <= x <= 10.

This is asked so many times. Please see this thread for the answer: https://web2.0calc.com/questions/floor-function_20#r1