Final answer:
The range of (w.r)(x) is all real numbers.
Step-by-step explanation:
The range of (w.r)(x) can be found by substituting the value of x from w(x) into r(x). So, we have:
(w.r)(x) = r(w(x)) = 2 - (x - 2)^2 = 2 - (x^2 - 4x + 4) = 6 - x^2 + 4x.
Therefore, the range of (w.r)(x) is all real numbers.