Question

As blood moves through a vein or artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure below). For an artery with radius 0.9 cm, v (in cm/s) is given as a function of r (in cm) by v = g(r) = 18,500(0.81 − r^2).
Don't bother answering if you won't show work, (I care more about learning how to than knowing the answer :))

Answer 1

g^{-1} means g^{-1}(r) the inverse we need

• v=18500(0.81-r^2)

Interchange v and r

• r=18500(0.81-v²)

Find v

• v²=0.81-r/18500
• v=√(0.81-r/18500)

That's the inverse