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

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

(a) f ðxÞ ¼ erx and gðzÞ ¼

Pn j¼1 z j : f ðgðzÞÞ and gð f ðxÞÞ

(b) f ðxÞ ¼ 1 x and gðyÞ ¼

Pn j¼1 yj : f ðgðyÞÞ and gð f ðxÞÞ

(c) f ðxÞ ¼ 1 þ i 12

 x, gðyÞ ¼ ln y, hðzÞ ¼

Pn j¼1 z

j : f  g  hðzÞ, g  f  hðzÞ and f  h  gðyÞ

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