Write a function apply-count that takes two arguments, f and x. It returns a pair whose...

 

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Write a function apply-count that takes two arguments, f and x. It returns a pair whose car is the value of (f x) and whose cdr is the total number of times apply-count has been called, including the current call. For full credit you may not use global state. Here is an example transcript with a fresh DrRacket session. > (apply-count (lambda (x) (* x x)) 5) (25. 1) > (apply-count (lambda (x) x) 100) (1002) > (apply-count (lambda (x) x) 100) (100. 3) Hint: Write a version using global state first. Then review the "let over lambda " technique from lecture and modify your implementation so that it uses only local state. Write a function apply-count that takes two arguments, f and x. It returns a pair whose car is the value of (f x) and whose cdr is the total number of times apply-count has been called, including the current call. For full credit you may not use global state. Here is an example transcript with a fresh DrRacket session. > (apply-count (lambda (x) (* x x)) 5) (25. 1) > (apply-count (lambda (x) x) 100) (1002) > (apply-count (lambda (x) x) 100) (100. 3) Hint: Write a version using global state first. Then review the "let over lambda " technique from lecture and modify your implementation so that it uses only local state.