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

[ash1]

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)

 

[MarkFL]

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

 

[Evgeny.Makarov]

Some of these problems have been considered in https://driven2services.com/staging/mh/index.php?threads/13132/.