**Adding and Subtracting Functions**

** **

If *f *(*x*) and *g*(*x*) define functions, then

**( **** f **+

*g***) (**

*x***)**=

*f***(**

*x***)**+

*g***(**

*x***)**Sum function

and **( **** f **–

*g***) (**

*x***)**=

*f***(**

*x***)**–

*g***(**

*x***).**Difference function

In each case, the domain of the new function is the intersection of the

domains of *f *(*x*) and *g*(*x*).