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(f o g) (x) = ( f (g(x) ),
The domain of f o g such that x is in the domain of g and that g(x) is the domain of f.
ex.
f(x) = x and g(x) = x + 2 find (f o g) (x).
(f o g) (x) = f (g(x))
= f ( x + 2 )
= ( x + 2 )²
The domain of g(x) = x + 2 is the set of all real numbers, and so is the domain of
f(x) = x² thus the domain of (f o g) (x) is the set of real numbers.
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