Algorithmic Relationship For many species of fish,the weight W is a function of the length x, given byW = kx3, where k is a constant depending on thespecies. Suppose k = 0.002, W is in pounds, and x isin inches, so the weight is W(x) = 0.002x3.a. Find the inverse function of this function.b. What does the inverse function give?c. Use the inverse function to find the length of afish that weighs 2 pounds.d. In the context of the application, what are thedomain and range of the inverse function?
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Algorithmic Relationship For many species of fish,
the weight W is a function of the length x, given by
W = kx3
, where k is a constant depending on the
species. Suppose k = 0.002, W is in pounds, and x is
in inches, so the weight is W(x) = 0.002x3
.
a. Find the inverse function of this function.
b. What does the inverse function give?
c. Use the inverse function to find the length of a
fish that weighs 2 pounds.
d. In the context of the application, what are the
domain and range of the inverse function?
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