The radius of a sphere, r (in cm), is a function of time, t (in seconds), and is

Question

The radius of a sphere, r (in cm), is a function of time, t (in seconds), and is modeled by the function r = f(t) = 0.5t + 1. The volume of the sphere, v (in cm3), is a function of the radius, r (in cm), and is modeled by the function . For a – d, evaluate each of the following (include units): a) f(2) = b) g(3) = c) g(f(3.5)) = d) Define a function for g(f(t)). You do not need to simplify the equation. e) Check your answer from part (c) with the function created in part (d). f) Would it make sense to define a function for f(g(r))? Explain why or why not.

Explanation / Answer

what is g(x) ?

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