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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?