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Let N,O be functions such that N(x) = 2/sqrt(x), and O(x) = x^2. What is N(O(N(O(N(O(3))))))?

 Feb 20, 2021
 #1
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Start by evaluating O(3) in the middle and working outwards. It's a tedious problem, but straightforward.

 

O(3) = 3^2 = 9

N(9) = 2/sqrt(9) = 2/3

O(2/3) = 4/9

...

 

and so on.

 Feb 20, 2021

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