.

(a) The perimeter of the shape is the sum of half a circumference and the diameter itself.

The circumference of a circle with radius is , and since we can write the circumference as

So, half a circumference is

Ad we get the perimeter by addind the diameter:

(b) Given the perimeter, we can solve for :

So, we can divide both sides by the parenthesis and we have

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1