## Related questions with answers

For many species of fish, the weight W is a function of the length x, given by $W=k x^3$, 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 $W(x)=0.002 x^3$.

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?

Solution

VerifiedIn the given problem, we need to determine the inverse of the function and the result of the inverse function. Then we need to determine the length of the fish with the given weight. We also need to determine the domain and range of the inverse function.

**How can we determine the inverse of a function?**

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