X + C' L productiongradescopeuploads.s3-us-wesi-2.amazonawscom' 2. (11 points) The volume of a sphere (in cma) can be expressed as a function of the radius of the sphere (in cm) as follows: V = f (1') = gn'rS. Suppose that the radius of the sphere is initially 7 cm at noon today and increases by 6 cm each minute after noon Let g(t) be the radius (in cm) of the sphere t minutes after noon, (in) (1 point) Find a function formula for g(t)l (b) (3 points) Ignoring the real-world context of this question, nd function formulas for f(g(t)) and g( f (7')). You don't need to simplify, but clearly label which is which. (c) (2 points) In the real-world context of this question, only one of f (g(10)) and g(f(10)) makes sense Decide which one and, without computing it, interpret what it represents in this context. (d) (2 points) Without computing it, interpret what f'1(20) represents in this context. (e) (3 points) Find a function formula for f'1(V)