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Let f(x) = \sqrt{x} and g(x) = x^2. Find f(g(f(g(f(8))))).

 Nov 7, 2019
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f(8)  =  sqrt (8)

g(f(8))= g(sqrt (8))  =  8

 

Each function evaluation will  "flip-flop"  back and forth between these two values

 

So.....f(g(f(g(f(8)))))  =     sqrt (8)

 

 

cool cool cool

 Nov 7, 2019

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