1. For each of the following collections of functions, determine the given composite functions: (a) f x...

1. For each of the following collections of functions, determine the given composite functions:

(a) f ðxÞ ¼ xn and gðiÞ ¼ 1 þ i 2 : f ðgðiÞÞ and gð f ðxÞÞ

(b) f ðxÞ ¼

Pn j¼1 xj and gðiÞ ¼ 1 þ i 2: f ðgðiÞÞ and gð f ðxÞÞ

(c) f ðxÞ ¼ erx, gðyÞ ¼ ln y, hðzÞ ¼

Pn j¼1 z j : f  g  hðzÞ, g  f  hðzÞ and f  h  gðyÞ