A local company can make up to 200 pairs of skates. The cost, in dollars, for producing x pairs of roller skates is given by the function: C=f(x)=742.72+0.4353x^2.C=f(x)=742.72+0.4353x2. A) Based on this scenario, what are the practical domain and range of this f(x)f(x) function? Do not say "all real numbers." B) Consider the inverse of this function. What would be the units of the input? What are the units of the output? C) Solve for xx in terms of CC in order to find the inverse function. Show all work in solving for xx.
A local company can make up to 200 pairs of skates. The cost, in dollars, for producing x pairs of roller skates is given by the function: C=f(x)=742.72+0.4353x^2.C=f(x)=742.72+0.4353x2.
A) Based on this scenario, what are the practical domain and range of this f(x)f(x) function? Do not say "all real numbers."
B) Consider the inverse of this function. What would be the units of the input? What are the units of the output?
C) Solve for xx in terms of CC in order to find the inverse function. Show all work in solving for xx.
D) Use the inverse function to determine the number of pairs of skates that can be produced for an initial investment of $12,000. When you get a decimal answer, round your answer down (For example, 4.7 pairs would still round down to 4).
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