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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)))))?

 Jun 6, 2022

Best Answer 

 #1
avatar+162 
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Let \(N\) and \(O\) be functions such that \(N(x)=2\sqrt{x}\) and \(O(x)=x^2\). What is \(N(O(N(O(N(O(3))))\)?

 

\(O(3)=9 \rightarrow N(9)=6\rightarrow O(6)=36\rightarrow N(36)=12\rightarrow O(12)=144\rightarrow N(144)=\fbox{24}\)

 Jun 6, 2022
 #1
avatar+162 
+1
Best Answer

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

 

\(O(3)=9 \rightarrow N(9)=6\rightarrow O(6)=36\rightarrow N(36)=12\rightarrow O(12)=144\rightarrow N(144)=\fbox{24}\)

RainbowSquirrel53 Jun 6, 2022

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