Question

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w.r) (x)?

Answer 1

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.