4. In function composition, it is often necessary to check domains and ranges carefully
to determine whether they are defined.
However, as this is the new input for
f, it must be in the domain of f.
5. Example 1.
Composite functions can be rather complex
to graph by hand, so a CAS calculator can be
used for assistance when sketching.
6. The function f is applied first
and, then the modulus
function:
Example 5.