Arizona wants to clean up Tempe Town Lake. They know that to remove p % of the pollution from the lake, it will cost C = g(p) = p + 40000/100 - p

A) What is the practical domain of this function? Answer using interval notation and explain where it comes from. Think about the units of the input. 

B) Algebraically show all work and find the inverse function, p = g^-1 (C). Your answer will be in terms of C. 

C) Fill in the following blanks with words: The input of the inverse function is ____ and the output of the inverse function is ____. 

D)  How much pollution would be removed if $8019 is spent to clean the lake? Round to the nearest whole %, if needed.