How do you find the composition of functions in the given pairs?

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SUMMARY

The discussion focuses on finding the composition of functions defined by specific pairs. Participants are tasked with determining compositions such as $(f \circ g)(n)$ for given functions, including f(n) = n + 60 and g(n) = 100n, as well as logarithmic functions like F(n) = log(n+3) and g(n) = log log(n+10). The conversation emphasizes the importance of providing complete function definitions for accurate assistance. Additionally, users are encouraged to share their attempts to foster a collaborative learning environment.

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Please answer for this question with detailed working.

Let f and g be function from the positive integer defined by the following pairs f: N find the composition.

a) f(n) = n + 60 g (n) = 100n
b) f (n) = g(n) =
c) F(n) = log(n+3) g(n) = log log(n+10)
d) F(n) = n log (n+2) g(n)
 
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What composition are you to find? ($(f\circ g)(x)$ for example?) Also, part b) is missing the function definitions.

Please post what you have tried so we know how best to help you. We do not just provide solutions; our goal is to help people work the problems themselves so that they are actively engaged in the process and learn. :D
 
Some of these problems have been considered in https://driven2services.com/staging/mh/index.php?threads/13132/.
 

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