The velocityV(in centimeters per second) of blood in an artery at a distancex cm from the center of the artery can be modeled by the functionV = f(x) = 500 (0.04 x^2) V=f(x)=500(0.04-x2)

for0 x 0.2

a. Find a formula for the inverse function: x=f-1(V)

b. Write the domain for the inverse function in interval notation.

c. Interpret what the inverse function is used for.

• The inverse function determines the distance from the center of the artery given the velocity of the blood.
• The inverse function determines the velocity of the blood given the distance from the center of the artery.

d. Find the distance from the center of an artery with a

velocity of 9 cm/sec (round to 2 decimal places)