Final answer:
The evaluated result of g(f(2)) is 25, and the composite function g(f(x)) is expressed as (x + 3)².
Step-by-step explanation:
To solve the problems involving compositions of functions given as f:x→x+3 and g:x→x², we first need to understand the concept of function composition, which is applying one function to the results of another.
i. Evaluate g(f(2)):
First, apply f to 2:
Next, apply g to the result of f(2):
ii. Find g(f(x)):
This gives us the composite function of g after f.