1.4 Composition of Functions

The composition of the function f with g is:

The domain of (f o g) is the set of all x in the domain of g such that g(x) is in the domain of f.

Ex. if

for

 then

 

 

The Domain of (f o g) is [1, infinity).



However, there are times when (f o g) does equal (g o f).