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Consider the function

`f(x)=((x)/(3))^(2)`

. a. Find the inverse of

`f(x)`

. b. Explain why the inverse is not a function. c. Suppose

`f(x)`

represents the height of a rocket taking off in terms of time. How would you need to restrict the domain or range of

`f(x)`

? d. Is the inverse now a function? Why or why not?